Published papers

• 1R. Spectra of graded commutative rings. Russian Math. Surveys, v. 30, N3, 1974, 209-210. Superschemes and algebraic supervarieties defined; submitted 2 years before Wess-Zumino's talk.
  
  
• 2R. On an analogue of determinant. Russian Math. Surveys, v. 35, N3, 1975, 156. Multiplicativity of the Berezinian is proved. The Berezinian is interpreted as a K_1-functor in supersetting.
  
  
• 3R. Lie supergroups and Lie superalgebras. Proc. of XIII All-Union Scientific Students Conf. in Math., Novosibirsk Univ. Press, Novosibirsk, 1975, 94-95.
  
  
• 4^*. Supermanifolds (with F.A. Berezin). Math. USSR Doklady, 1975, v. 224, N3, 505-508. This is just an expanded smooth version of the algebraic results of [1].
  
  
• 5. Cohomology of Lie superalgebras. Funct. Anal. Appl., v. 9, N4, 1975, 75-76. This is actually my worst paper. But people keep referring to it though it has nothing but obvious definitions.
  
  
• 6^*R. The structure of Lie supergroups and Fermi--Bose symmetries (with B. M. Zupnik). In: Multiple processes at high energy, FAN, Tashkent, 1976, 3-50. A short superization of S. Sternberg's book on differential geometry.
  
  
• 7^*. Integral forms and Stokes' formula on supermanifolds (with J. N. Bernstein). Funct. Anal. Appl., v. 11, N1, 1977, 55-56. Integral forms are introduced and Stokes' formula derived.
  
  
• 8^*. How to integrate differential forms on supermanifolds (with J. N. Bernstein). Funct. Anal. Appl., v. 11, N3, 1977, 70-71. It is impossible to integrate differential forms over a supermanifold (for the same reason it is impossible to integrate a polynomial function over a noncompact manifold). Forms that can be integrated - the pseudodifferential forms - are introduced.
  
  
• 9. New Lie superalgebras and mechanics. Soviet Math. Dokl., v. 18, n.5, 1977, 1277-1280 The Darboux theorem is correctly formulated. The odd mechanics, 3 years later rediscovered by Batalin and Vilkovysky, is introduced together with algebras that preserve it and associated contact structures. (The paper contains counterexamples to Darboux theorems of Kostant and to Kac's classification theorem of simple infinite dimensional Lie superalgebras.)
  
  
• 10R. Irreducible representations of finite dimensional Lie superalgebras of type W. Questions of group theory and homology algebra, Yaroslavl Univ. Press, Yaroslavl, 1979, 187-193.
  
  
• 11^*. Irreducible representations of Lie superalgebras of types W and S (with J. N. Bernstein). C.r. Acad. Bulg. Sci., v. 32, 1979, 277-27.
  
  
• 12^*.The invariant differential operators and irreducible representations of Lie superalgebras of vector fields (with J. N. Bernstein).Selecta Math. Sov., v. 1, N2, 1981, 143-160. Exposition of [10], [11] with details. The said operators are listed and the uniquness of the integration theory that has (a) a Stockes formula and (b) the convential integration on manifolds as a particular case is demonstrated.
  
  
• 13^*R. Formula for characters of irreducible representations of finite dimensional Lie superalgebras of types gl and sl (with J. N. Bernstein). C.r. Acad. Bulg. Sci., v. 34, N8, 1980, 1049-1051. The so-called Bernstein-Leites formula for atypical representations. (Erroneously claimed to be true for all gl(m|n) while proved for gl(1|n) only.)
  
  
• 14R. Formula for characters of irreducible representations of finite dimensional Lie superalgebras of type C. C.r. Acad. Bulg. Sci., v. 33, N8, 1980, 1053--1055. The so-called Bernstein-Leites formula for atypical representations.
  
  
• 15. Formulas for characters of irreducible finite dimensional representations of simple superalgebras. Funct. Anal. Appl., v. 14, N2, 1980, 35-39. The so-called Bernstein-Leites formula for atypical representations. (Erroneously claimed to be true for all gl(m|n) while proved for gl(1|n) only.) Description of typical representations of pe(n).
  
  
• 16. Introduction to the supermanifold theory. Russian Math. Surveys, v. 35, n.1, 1980, 3-53. The first review of the subject.
  
  
• 17^*. Superalgebra B(0,1) and explicit integration of the supersymmetric Liouville equation (with A. N. Leznov, M. V. Saveliev). ZhETF Letters, v. 32, n.1, 1980; Physics Letters, v. 96B, 1980, 97-99. Super Liouville equation is completely solved by explicit formulas.
  
  
• 18^*R. Examples of simple Lie superalgebras of vector fields (with D. V. Alekseevsky, I. M. Schepochkina). C. r. Acad. Bulg. Sci., v. 34, N9, 1980, 1187-1190. Several series of new (as compared with Kac's list) examples and regradings of old ones are described together with a way to classification.
  
  
• 19. Felix Alexandrovitch Berezin (with N.N. Bogolyubov, I.M. Gelfand, R.L. Dobrushin, A.A. Kirillov, M.G. Krein, R.A. Minlos, Ya.G. Sinai, M.A. Shubin). Russian Math. Surveys, v. 36, N4, 1981, 185-190
  
  
• 20. Irreducible representations of Lie superalgebras and invariant differential operators (thesis). Steklov Math. Institute of the USSR Academy of Sciences, 1981, 1-70.
  
  
• 21*. Irreducible representations of the Lie superalgebra of vector fields and invariant differential operators (with J. N. Bernstein). Serdika, Bulgarian Math. J., v. 7, 1981, 320-334 (=Sel. Math. Sov. v.1, n.2, 1981, 143-160)
  
  
• 22. Irreducible representations of Lie superalgebras of vector fields and invariant differential operators. Funct. Anal. Appl., v. 16, N1, 1982, 76-78. The results of [12], [21] are generalized to other series. The analog of Hodge decomposition for the periplectic form is introduced.
  
  
• 23R. Irreducible representations of Lie superalgebras of divergence-free vector field and invariant differential operators. Serdica, Bulgarian Math. J., v. 8, 1982, 12-15.
  
  
• 24. Representations of Lie superalgebras. Theor. Math. Phys., v. 32, N2, 1982, 225--228. The description of irreducible representations of sl(1|m) and osp(2|2n). A review of results on irreducible representations.
  
  
• 25^*. Irreducible representations of type Q, odd trace and odd determinant (with J. N. Bernstein). C. r. acad. Bulg. Sci., v. 35, N3, 285-286. The odd trace and odd determinant are introduced. It is shown that irreducible representations of Lie superalgebras fall into two major types, one of them - the homomorphisms into q, the other one into gl.
  
  
• 26^*R. Lie superalgebras of string theories and integrable systems (with A. N. Leznov, M. V. Saveliev). C. r. Acad. Bulg. Sci., v. 36, 1982, 435-438. Systems associated with "stringy" superalgebras are solved 'a la [17].
  
  
• 27. Clifford algebra as a superalgebra and quantization. Theor. Math. Phys., v. 58, N2, 1984, 229-232. A result of C. T. C. Wall on the Brauer group in supersetting is rediscovered. An attempt to quantize antibraket is performed.
  
  
• 28^*. The solutions of the classical Yang-Baxter equation for simple Lie superalgebras (with V.Serganova). Theor. Math. Phys., v. 58, N1, 1984, 26-37. See also [R31] (Erratum)
  
  
• 29^*. Integrable systems and Lie superalgebras (with M. A. Semenov-Tian-Shansky). Proceeding of LOMI Seminars (L. D. Faddeev ed.), Nauka, Leningrad, v. 123, 1983, 92-97 (in Russian; the English translation: JOSMAR (J. Soviet Mathematics), v. 28 (4), 1983, 525-528) A review of the subject with some new results; examples are considered in subsequent paper by R. Kirillova.
  
  
• 30. Automorphisms and real forms of simple Lie superalgebras of formal vector fields. In: Onishchik A. et. al. (eds.) Problems in group theory and homology algebra, v. 3. Yaroslavl Univ. Press, Yaroslavl, 1983, 126-127.
  
  
• 31^*. New Lie superalgebras of string theories (with B. L. Feigin) Group-theoretical methods in physics (Zvenigorod, 1982), v. 1, Nauka, Moscow, 1983, 269-273 (Harwood Academic Publ., Chur, 1985, Vol. 1-3 , 623-629)
  
  
• 32^*. Kac-Moody superalgebras (with B. L. Feigin, V. V. Serganova). In: Markov M. et al (eds) Group-theoretical methods in physics (Zvenigorod, 1982), v. 1, Nauka, Moscow, 1983, 274-278 (Harwood Academic Publ., Chur, 1985, Vol. 1-3 , 631-637) The classification of simple Lie superalgebras of finite growth of certain type and their central extensions: announcement.
  
  
• 33. Lie superalgebras. In: Modern Problems of Mathematics. Recent developments, v. 25, VINITI, Moscow, 1984, 3-49 (in Russian; the English translation: JOSMAR (J. Soviet Mathematics), v. 30 (6), 1985, 2481-2512) A review of the subject with some new results.
  
  
• 34^*. Cohomology of Lie superalgebras (with Fuchs D. B.) C.r. Acad. Bulg. Sci., v. 37, 12, 1984, 1595-1596 The results of computations of cohomology with trivial coefficients of all matrix superalgebras and vect(0|n) are announced.
  
  
• 35-39. Superalgebra. Supergroup. Supermanifolds. Superspace. Character formula. Mathematical Encyclopaedia, v. 5, Soviet Encyclopaedia, Moscow, 1985 ( = Kluwer, 1992).
  
  
• 40^*R. Instantons with gauge supergroup (with R. Yu. Kirillova). Problems of nuclear physics and cosmic rays (D. V. Volkov festschrift), Kharkov Univ. Press, Kharkov, 1985, 34-40. The instanton solutions with compact gauge supergroup are described a la Drinfeld-Manin's Description of instantons.II".
  
  
• 41^*. Embeddings of osp (N|2) and completely integrable systems (with Saveliev M. V., Serganova V. V.). In: Dodonov V., Man'ko V. (eds.) Proceedings of International seminar group-theoretical methods in physics, Yurmala, May 1985. Nauka, Moscow, 1986; 377-394 (an enlarged version in English is published by VNU Sci Press, 1986, 255-297). Dynkin's description of embeddings of sl(2) is superized and applied to solve vector-valued analogs of superLiouville equasion.
  
  
• 42. Selected problems of supermanifold theory. Duke Math. J., v. 54, 2 (1987), 649-656
  
  
• 43^*. Models of representations associated with classical superdomains (with V. Serganova), Math. Scand. 1991, 68, 133-147 A superization of Gelfand-Zelevinsky's construction of hidden supersymmetry in Bidenharn's models.
  
  
• 44^*. Simple finite dimensional Lie algebras in characteristic 2 related to superalgebras and on a notion of finite simple group (with Yu. Kochetkov). In: Kegel O. et.al. (eds.) Proc. Intnat. algebraic conference, Novosibirsk, August 1989, Contemporary Math. AMS, 1992, 59-67 The analog of Kostrikin-Shafarevich's conjecture in characteristic 2 is reformulated and backed up with several new examples.
  
  
• 45^*. Analogues of the Riemannian structure on supermanifolds (with E. Poletaeva). In: Kegel O. et.al. (eds.) Proc. Intnat. algebraic conference, Novosibirsk, August 1989, Contemporary Math. AMS, 1992, 603-612; Supergravities and contact type structures on supermanifolds (with E. Poletaeva). In: Bokut L. (ed.) Second International Conference on Algebra (Barnaul, 1991), 267-274, Contemp. Math., 184, Amer. Math. Soc., Providence, RI, 1995 The analogs of Riemann tensor on supermanifolds are calculated. A mathematician's attempt to understand supergravity.
  
  
• 46. New invariant differential operators and pseudo-(co)homology of supermanifolds and Lie superalgebras. (with Yu. Kochetkov and A. Weintrob) In: Andima S. et. al. (eds.) General Topology and its Appl., June 1989, Marcel Dekker, NY, 1991, 217-238 Continuation of [12], [8]. Tensor fields with infinite dimensional fibers are considered and, unlike the case of manifolds, new invariant differential operators are found. Bilinear differential operators invariant with respect to contact transformations on N=1 and 2- extended supercircles are listed. Semiinfinite (co)homology of supermanifolds are introduced.
  
  
• 47-49^*. New N = 6 infinite dimensional Lie superalgebra with central extension (with M. Chaichian and J. Lukiersky), Phys. Lett. B., 225, 4, 1989, 347-351; N=6 from central extension of doubly infinite superalgebras. In: Functional integration, geometry and strings (Karpacz, 1989), 421-432, Progr. Phys., 13, Birkhäuser, Basel, 1989; General D=1 local supercoordinate transformations and their supercurrent algebras. Phys. Lett. B 236 (1990), no. 1, 27-32. It is shown that there exists just one simple Lie superalgebra (among "stringy" ones) without Cartan matrix but with a nondegenerate invariant symmetric bilinear form.
  
  
• 50^*. Cohomology to compute. In: Kaltofen, E., Watt, S. M. (eds.) Computers and mathematics. Papers from the International Conference on Computers and Mathematics held at Massachusetts Institute of Technology, Cambridge, Massachusetts, June 13-17, 1989. Springer-Verlag, New York-Berlin, 1989. xiv+326 pp. (73-81) The importance of cohomology for theoretical physics is declared and backed up with some examples. Open problems are offered.
  
  
• 51^*. Metasymmetry and Volichenko algebras (with V. Serganova), Phys. Lett. B, 1990, 252, 1, 91-96 The conventional SUSY Lagrangians are shown to admit a symmetry wider than supersymmetry. Simple finite dimensional Volichenko algebras (nonhomogeneous subalgebras of Lie superalgebras) are classified under a technical assumption.
  
  
• 52. Towards classification of simple Lie superalgebras. In: Chau L. L., Nahm W. (eds.) Proc. Intntl. Conf. Geometry and Physics, lake Tahoe, June 1989, Plenum Press, 1990, The conjectural classification of simple vectorial Lie superalgebras performed with I. Shchepochkina is announced.
  
  
• 53^*. Classical superspaces and related structures (with V. Serganova, G. Vinel). In: Bartocci C. et al. (eds.) Differential Geometric Methods in Theoretical Physics Proc. DGM-XIX, 1990, Springer, LN Phys. 375, 1991, 286-297 The compact Hermitian symmetric spaces and superspaces whose motion group is an infinite dimensional Kac-Moody (super)group or a supergroup of diffeomorphisms of the supercircle are listed. The corresponding analogs of the Riemann tensor are described.
  
  
• 54^*. Defining relations for classical Lie algebras of polynomial vector fields (with Poletaeva E.), Math. Scand., 81 (1997), no. 1,1998, 5-19 This is a transcript of a talk at the Euler IMI Seminar, November 1990. The relations earlier implicitely described by D. Fuchs are described explicitely. To the usual Chevalley generators subject to Serre relations on the n-dimensional space we add 1 or 2 more generators and obtained about 6 new relations for any n (instead of, respectively, ~n³ and ~n⁶ implicite relations suggested by Fuchs).
  
  
• 55^*. Defining relations for simple Lie superalgebras. I. Lie superalgebras with Cartan matrix (with V. Serganova), In: J. Mickelsson, O. Peckkonen (eds.), Proc. of the conf. Topological methods in physics, 1991, World Scientific, 1992, 194-201 The relations are calculated. Some of them are not of Serre-type.
  
  
• 56^*. Defining relations for simple Lie superalgebras. Lie superalgebras without Cartan matrix (with P. Grozman, Yu. Kochetkov, E. Poletaeva), J. Nonlinear Math. Phys., to appear The results of [54] are generalized to most of all simple Lie superalgebras (of finite growth).
  
  

      
  57*. On Einstein equations on manifolds and supermanifolds (with E. Poletaeva,
   V. Serganova), to appear  Analogs of Einstein equations are calculated 
                      4n
  for grassmanians Gr2n (and supermanifolds with a metric either even or odd;
   these analogs are NOT supergravity equations).

  
  
• 58^*. From supergravity to ballbearings (with P. Grozman). In: Wess J., Ivanov E. (eds.), Supersymmetries and quantum symmetries, Lecture Notes in Phys., 524, 1999, 58-67 The notion of Riemann tensor for nonholonomic manifolds is defined. Example: the Riemann tensor is calculated for an N-extended SUGRA for any N.
  
  
• 59^*. On the defining relations of quantum superalgebras (with R. Floreanini, L. Vinet), Lett. Math. Phys, 1991, 23, 127-131 [55] is used to q-quantize superalgebras with Cartan matrices. Non-Serre relations are first described.
  
  
• 60. Quantization. Supplement 3. In: F. Berezin, M. Shubin. Schrödinger equation, Kluwer, Dordrecht, 1991, 483-522 A way to quantization that enables one to quantize the antibracket is exposed. A review of supermanifold theory with an emphasis on physical applications. A description of supermanifolds with the help of Weil's functor of points (1954) later rediscovered many times (with mistakes) in physical literature.
  
  
• 61^*. Defining relations associated with the principal sl(2)-subalgebras. (with Grozman P.) In: Dobrushin R., Minlos R., Shubin M. and Vershik A. (eds.) Contemporary Mathematical Physics (F.A. Berezin memorial volume), Amer. Math. Soc. Transl. Ser. 2, vol. 175, Amer. Math. Soc., Providence, RI (1996) 57-68 Any simple finite dimensional Lie algebra can be generated by certain two elements indicated and relations between them are explicitely computed. E.g., for sl(n) there are only 9 relations analytically depending on n.
  
  
• 62^*. Lie superalgebras of supermatrices of complex size. Their generalizations and related integrable systems. (with Grozman P.) In: Vasilevsky N. et. al. (eds.) Proc. Internatnl. Symp. Complex Analysis and related topics, Mexico, 1996, Birkhauser Verlag, 1999, 73-105 A new class of simple filtered Lie superalgebras of polynomial growth is distinguished; the simplest example being sl(lambda). Related continum hierarchies of KdV type are further development of generalizations of Khesin-Malikov's generalizations of Drinfeld-Sokolov's reduction.
  
  
• 63^*. Supersymmetry of the Schrödinger and Korteveg-de Vries operators. (with Xuan P.), hep-th 9710045 Kirillov's interpretation of the stationary Schredinger and Korteveg-de Vries operators is generalized to all distinguished simple Lie superalgebras of string theories. There are exactly 14 such superazations.
  
  
• 64^*. Shapovalov form for the contact Lie superalgebra on 1|6-dimensional supercircle. (with Grozman P.), Czech. J. Phys., 47, n. 11, 1997, 1133-1136
  
  
• 65^*. MATHEMATICA-aided study of Lie algebras and their cohomology. From supergravity to ballbearings and magnetic hydrodynamics (with Grozman P.) In: Keränen V. (ed.) The second International Mathematica symposium, Rovaniemi, 1997, 185-192 Description of the package suitable for computer-aided study of numerous questions of pure and applied mathematics and physics.
  
  
• 66^*. Manin-Olshansky triples and Lie superalgebras. (with Shapovalov A.), In: Proceedings of 28th Annual Iranian Mathematical Conference, 1997; J. Nonlinear Math. Phys., to appear G.Olshansky showed that for certain simple finite dimensional Lie superalgebras there exist solutions of the quantum Yang-Baxter equation though no classical solutions. The result is generalized to all simple Z-graded Lie superalgebras of polynomial growth.
  
  
• 67^*. Defining relations for classical Lie superalgebras with Cartan matrix (with Grozman P.), hep-th 9702073
  
  
• 68^*. Lie superalgebras of string theories. (with Grozman P., Shchepochkina I.), hep-th 9702120 Acta mathematica, Vietnam, to appear Classification of simple Lie superalgebras of string theories and their central extensions is announced.
  
  
• 69^*. Quivers and Lie superalgebras. (with Shchepochkina I.), Czech. J. Phys. 47, n. 12, 1997, 1221-1229 Bernstein-Gelfand-Ponomarev's functors which elucidated a famous P. Gabriel's theorem are considered for Lie superalgebras. The analog of E. Cartan's classification of simple Lie superalgebras of vector fields is announced.
  
  
• 70^*. Realization of Lie algebras and superalgebras via creation and annihilation operators. I. (with Burdik C., Grozman P. and Sergeev A.) Russian J. Theor. and Math. Physics, to appear We offer three algorithms which solve this problem and execute them with the help of Grozman's SUPERLIE package to illustrate with new examples too difficult for bare hands.
  
  
• 71^*. Orthogonal polynomials of discrete variable and Lie algebras of complex size matrices (with A. Sergeev) In: Procedings of M. Saveliev memorial conference, MPI, Bonn, February, 1999, MPI-1999-36, 49-70; Theor. and Math. Physics, to appear The classical Hahn's and Chebychev polynomials of discrete variable are interpreted with the help of the Lie algebra of complex size matrices. All known algebraic identities and several new ones get a lucid explanation. A new approach to orthogonal polynomials in several variables is indicated.
  
  
• 72^*. Shapovalov determinant for Poisson superlagebras (with P. Grozman), J. Nonlinear Math. Phys., to appear The said determinant is computed. Cf. with [64]. The paper is the first in the series where the analogy between Poisson superlagebras in odd indeterminates and the general matrix Lie algebra is traced.
  
  
• 73^*. The local invariants of the nonholonomic manifolds. Stability and integrability of differential equations, to appear Exposition of results delivered at ICTP school, 1991. The analog of Riemann tensor for nonholonomic manifolds is introduced and computed for the Engel manifolds.
  
  
• 74^*. Classification of simple Lie superalgebras of vector fields (with Shchepochkina I.), to appear The classification announced in [52] (preliminarily) and [69] (finally) is proven with details. It overlaps with a classification of complete Lie superalgebras of vector fields recently published by Cheng and Kac and corrects it.
  
  
• 75^*. A new twist of Penrose' twistor theory (with Grozman P.) It is shown that the structure functions (analogs of the Riemann tensor) on the "curved" Grassmannian of subsuperspaces in a superspace allow superisation of the Einstein equations distinct form the conventional SUGRA.
  
  
• 76. Indecomposable representations of Lie superalgebras. In: Pogosyan G. (ed.), Memorial volume dedicated to Misha Saveliev and Igor Luzenko, to appear A solution of a problem of I. Gelfand on a toy, finite dimensional model. Unlike rival works by J. Germony, I applied elementary methods of Gelfand-Ponamorev.
  
  
• 77^*. How to quantize antibracket (with Shchepochkina I.), Russian J. Theor. and Math. Physics, to appear The ``antibracket'' from [9] is quantized (solution of a tempting problem) and a new and exceptional quantization of the Lie superalgebra of Hamiltonian vector fields on (2|2)-dimensional superspace is described: elucidation of [27] and [60].
  
  
• 78^*. Analogs of the Riemann tensor for the exceptional nonholonomic structures on supermanifolds (with Grozman P. and Shchepochkina I.), to appear The said analogs are completely calculated.
  
  
• 79. How to superize Liouville equation, J. Nonlinear Math. Phys., to appear
  
  
• 80^*. Casimir operators for Poisson Lie superalgebras (with A. Sergeev). In: Ivanov E. et. al. (eds.) Supersymmetries and Quantum Symmetries" (SQS'99, 27-31 July, 1999), Dubna, JINR, to appear Further investigation of Poisson Lie superalgebras, cf. [72]
  
  
• 81. The index theorem for homogeneous differential operators on supermanifolds. In: Ivanov E. et. al. (eds.) Supersymmetries and Quantum Symmetries" (SQS'99, 27-31 July, 1999), Dubna, JINR, to appear Bott's result on equivariant index is superized. Contrary to certain ``theorems'' from literature, we show that the index on supermanifolds does not always reduce to the index on the underlying manifold.
  
  

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  In preparation

• 82^*. Analogs of the Riemann tensor for flag manifolds (with Premet A., Denisenkova O., and Grozman P.)
  
  
• 83^*. Orthogonal polynomials of discrete variable and Lie superalgebras of complex size supermatrices (with A. Sergeev) Superization of [71]. New analogs of Chebyshev and Hahn polynomials are found.
  
  
• 84^*. Simple Volichenko algebras: a closer view (with V. Serganova) An expansion and elucidation of [55], in particular, of certain remarkable examples.
  
  
• 85^*. Spinor-oscillator representations of Lie superalgebras. The said representations for distinguished simple Lie superalgebras of string theories are described together with semi-infinite cohomology and "critical dimensions" of string theories revisited.
  
  
• 86. Ghost and semiinfinite representations and cohomology of Lie superalgebras
  
  
• 87^*. Orthogonal polynomials of several discrete variable and generalizations of the Lie algebras of complex size matrices (with Grozman P. and Sergeev A. )
  
  
• 88^*. Orthogonal polynomials of discrete variable and q-quantizations of the Lie superalgebras of complex size matrices (with Sergeev A. )
  
  
• 89. Reducible and regular maximal subalgebras of classical Lie superalgebras (with Shchepochkina I.)
  
  
• 90^*. Howe's duality and Lie superalgebras (with Deligne P.)
  
  
• 91^*. Classification of simple real Lie superalgebras of vector fields (with Shchepochkina I.), to appear Real forms of the algebras listed in [74].