Edit Profile (opens in new tab) Leites, Dimitry A. Co-Author Distance Author ID: leites.dimitry-a Published as: Leites, D. A.; Leites, Dimitry; Leites, D.; Leites, Dimitry A.; Leĭtes, D. A.; Leĭtes, D. more...less Documents Indexed: 137 Publications since 1974, including 1 Book and 17 Additional arXiv Preprints 1 Further Contribution Reviewing Activity: 64 Reviews Co-Authors: 49 Co-Authors with 95 Joint Publications 1,492 Co-Co-Authors all top 5 Co-Authors 37 single-authored 22 Bouarroudj, Sofiane 20 Grozman, Pavel 17 Shchepochkina, Irina 16 Lebedev, Aleksei Vital’evich 11 Bernstein, Joseph 9 Serganova, Vera V. 6 Krutov, Andrey Olegovich 5 Poletaeva, Elena 4 Shchepochkina, I. M. 3 Grozman, P. Ya. 3 Kirillov, Alexandre Aleksandrovich 3 Lozhechnyk, Oleksandr 3 Sergeev, Aleksandr Nikolaevich 3 Shang, Jin 2 Berezin, Feliks Aleksandrovich 2 Bogolyubov, Nikolaĭ Nikolaevich 2 Chapovalov, Maxim 2 Dobrushin, Roland L’vovich 2 Feĭgin, Boris L’vovich 2 Gel’fand, Israil’ Moiseevich 2 Iyer, Uma N. 2 Kochetkov, Yuri Yu. 2 Kreĭn, Mark Grigor’evich 2 Minlos, Robert Adol’fovich 2 Saveliev, Mikhail V. 2 Semenov-Tyan-Shanskiĭ, Mikhail Arsen’evich 2 Shubin, Mikhail Aleksandrovich 2 Sinaĭ, Yakov Grigor’evich 1 Akhiezer, Dmitriĭ Naumovich 1 Alekseevskiĭ, Dmitriĭ Vladimirovich 1 Chaichian, Masud 1 Chapovalov, Danil 1 Floreanini, Roberto 1 Fuchs, Dmitry Borisovich 1 Gorbatsevich, Vladimir Vital’evich 1 Kazarin, Lev Sergeevich 1 Kirillova, R. Yu. 1 Kotecký, Roman 1 Leznov, Andreĭ Nikolaevich 1 Lukierski, Jerzy 1 Messaoudene, Mohamed 1 Minachin, V. V. 1 Niederle, Jiri 1 Sachse, Christoph 1 Shapovalov, Aleksandr V. 1 Shchetinin, A. N. 1 Shereshevskii, Ilya Aronovich 1 Stekolshchik, Rafael 1 Vinberg, Èrnest Borisovich 1 Vinel, Gérard 1 Vinet, Luc 1 Weintrob, Arkady all top 5 Serials 10 Theoretical and Mathematical Physics 9 Journal of Nonlinear Mathematical Physics 7 Functional Analysis and its Applications 7 Doklady Bolgarskoĭ Akademii Nauk 4 Uspekhi Matematicheskikh Nauk [N. S.] 4 Czechoslovak Journal of Physics 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Russian Mathematical Surveys 3 Funktsional’nyĭ Analiz i ego Prilozheniya 3 Homology, Homotopy and Applications 2 Letters in Mathematical Physics 2 Teoreticheskaya i Matematicheskaya Fizika 2 Journal of Soviet Mathematics 2 Mathematica Scandinavica 2 Soviet Mathematics. Doklady 2 Selecta Mathematica Sovietica 2 International Journal of Algebra and Computation 2 IMRN. International Mathematics Research Notices 2 Linear Algebra and its Applications 2 Serdica 2 Journal of Lie Theory 2 The Journal of Prime Research in Mathematics 1 Physics Letters. B 1 Acta Mathematica Vietnamica 1 Duke Mathematical Journal 1 Journal of Algebra 1 Experimental Mathematics 1 Zapiski Nauchnykh Seminarov POMI 1 Journal of Mathematical Sciences (New York) 1 Mathematical Research Letters 1 Advances in Theoretical and Mathematical Physics 1 Algebras and Representation Theory 1 Matematicheskiĭ Zhurnal 1 Mathematical Physics and Applied Mathematics 1 Translations. Series 2. American Mathematical Society 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Arnold Mathematical Journal all top 5 Fields 114 Nonassociative rings and algebras (17-XX) 36 Global analysis, analysis on manifolds (58-XX) 25 Quantum theory (81-XX) 13 Differential geometry (53-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Mechanics of particles and systems (70-XX) 7 Partial differential equations (35-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Relativity and gravitational theory (83-XX) 5 History and biography (01-XX) 5 Associative rings and algebras (16-XX) 5 Topological groups, Lie groups (22-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Ordinary differential equations (34-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 108 Publications have been cited 1,096 times in 609 Documents Cited by ▼ Year ▼ Introduction to the theory of supermanifolds. Zbl 0462.58002 Leites, D. A. 166 1980 Introduction to superanalysis. Ed. by A. A. Kirillov. Transl. from the Russian by J. Niederle and R. Kotecký, ed. and rev. by Dimitri Leites. Zbl 0659.58001 Berezin, Feliks Aleksandrovich 125 1987 Introduction to the theory of supermanifolds. Zbl 0439.58007 Leites, D. A. 73 1980 Supermanifolds. Zbl 0331.58005 Berezin, F. A.; Leites, D. A. 49 1975 Classification of finite dimensional modular Lie superalgebras with indecomposable Cartan matrix. Zbl 1220.17010 Bouarroudj, Sofiane; Grozman, Pavel; Leites, Dimitry 41 2009 Theory of supermanifolds. (Теория многообразии.) Zbl 0599.58001 Leites, D. A. 33 1983 Lie superalgebras of string theories. Zbl 1061.17021 Grozman, Pavel; Leites, Dimitry; Shchepochkina, Irina 32 2001 On the defining relations of quantum superalgebras. Zbl 0736.17015 Floreanini, Roberto; Leites, Dimitry A.; Vinet, Luc 27 1991 A formula for the characters of finite dimensional irreducible representations of Lie superalgebras of the series \(\text{Gl}\) and \(\text{sl}\). Zbl 0457.17002 Bernshtein, I. N.; Leites, D. A. 25 1980 Cohomology of Lie superalgebras. Zbl 0586.17005 Fuks, D. B.; Leites, D. A. 25 1984 Divided power (co)homology. Presentations of simple finite dimensional modular Lie superalgebras with Cartan matrix. Zbl 1200.17009 Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry 23 2010 Invariant operators on supermanifolds and standard models. Zbl 1037.58003 Grozman, Pavel; Leites, Dimitry; Shchepochkina, Irina 20 2002 Simple Lie algebras in characteristic 2 recovered from superalgebras and on the notion of a simple finite group. Zbl 0765.17006 Kochetkov, Yuri; Leites, Dimitry A. 18 1992 Integral forms and the Stokes formula on supermanifolds. Zbl 0352.58004 Bernstein, I. N.; Leites, D. A. 17 1977 How to quantize the antibracket. Zbl 1039.17025 Leites, D. A.; Shchepochkina, I. M. 17 2001 New Lie superalgebras and mechanics. Zbl 0403.17002 Leites, D. A. 16 1977 Defining relations for Lie superalgebras with Cartan matrix. Zbl 0979.17002 Grozman, Pavel; Leites, Dimitry 15 2001 Cohomology of Lie superalgebras. Zbl 0352.17007 Leites, D. A. 15 1976 New simple modular Lie superalgebras as generalized prolongs. Zbl 1160.17012 Bouarroudj, S.; Grozman, P. Ya.; Leites, D. A. 15 2008 New simple Lie algebras in characteristic 2. Zbl 1404.17026 Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina 15 2016 Simple vectorial Lie algebras in characteristic 2 and their superizations. Zbl 1476.17014 Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina 13 2020 The classification of almost affine (hyperbolic) Lie superalgebras. Zbl 1362.17044 Chapovalov, Danil; Chapovalov, Maxim; Lebedev, Alexei; Leites, Dimitry 13 2010 Solutions of the classical Yang-Baxter equation for simple superalgebras. Zbl 0537.22014 Leites, D. A.; Serganova, V. V. 13 1984 How to integrate differential forms on supermanifolds. Zbl 0364.58005 Bernstein, I. N.; Leites, D. A. 12 1977 Integral forms and the Stokes formula on supermanifolds. Zbl 0369.58005 Bernstein, I. N.; Leites, D. A. 12 1977 Lie algebra deformations in characteristic 2. Zbl 1361.17016 Bouarroudj, Sofiane; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina 12 2015 Structures of \(G(2)\) type and nonintegrable distributions in characteristic \(p\). Zbl 1146.17014 Grozman, Pavel; Leites, Dimitry 11 2005 Spectra of graded commutative rings. (Spektra graduiert-kommutativer Ringe.) Zbl 0326.14001 Leites, D. A. 11 1974 Non-degenerate invariant (super)symmetric bilinear forms on simple Lie (super)algebras. Zbl 1421.17003 Bouarroudj, Sofiane; Krutov, Andrey; Leites, Dimitry; Shchepochkina, Irina 11 2018 On Einstein equations on manifolds and supermanifolds. Zbl 1009.35085 Leites, D.; Poletaeva, E.; Serganova, V. 10 2002 Mathematica-aided study of Lie algebras and their cohomology – from supergravity to ballbearings and magnetic hydrodynamics. Zbl 1059.17500 Grozman, P.; Leites, D. 10 1997 Examples of simple infinite dimensional Lie superalgebras of vector fields. Zbl 0457.17005 Alekseevskii, D. V.; Leites, D. A.; Shchepochkina, I. M. 9 1980 Formulas for the characters of irreducible finite-dimensional representations of simple Lie superalgebras. Zbl 0443.17004 Leites, D. A. 9 1980 Quivers and Lie superalgebras. Zbl 0944.17005 Leites, D.; Shchepochkina, I. 9 1997 Lie superalgebras. Zbl 0567.17003 Leĭtes, D. A. 9 1985 The superalgebra \(Q(n)\), the odd trace and the odd determinant. Zbl 0494.17002 Bernshtein, I. N.; Leites, D. A. 9 1982 Simple Lie superalgebras and nonintegrable distributions in characteristic \(p\). Zbl 1104.17011 Bouarroudj, S.; Leites, D. 8 2006 Lie superalgebras of supermatrices of complex size. Their generalization and related integrable systems. Zbl 0996.17003 Grozman, P.; Leites, D. 8 2000 Towards classification of simple finite dimensional modular Lie superalgebras. Zbl 1172.17011 Leites, Dimitry 8 2007 Restricted Lie (super)algebras in characteristic 3. Zbl 1420.17020 Bouarroudj, S.; Krutov, A. O.; Lebedev, A. V.; Leites, D. A.; Shchepochkina, I. M. 8 2018 Invariant differential operators and irreducible representations of Lie superalgebras of vector fields. Zbl 0517.17001 Bernshtein, I. N.; Leites, D. A. 8 1981 Integration of differential forms on supermanifolds. Zbl 0423.58003 Bernshtein, I. N.; Leites, D. A. 7 1978 Character formulas of irreducible finite-dimensional representations of simple Lie superalgebras. Zbl 0431.17005 Leites, D. A. 7 1980 Lie superalgebra structures in \(C^{\bullet} (\mathfrak n; \mathfrak n)\) and \(H^{\bullet}(\mathfrak n, \mathfrak n)\). Zbl 1106.17025 Lebedev, Alexei; Leites, Dimitry; Shereshevskii, Ilya 7 2005 Metasymmetry and Volichenko algebras. Zbl 0753.17006 Leites, Dimitry A.; Serganova, V. 7 1990 New invariant differential operators on supermanifolds and pseudo- (co)homology. Zbl 0773.58004 Leites, Dimitry A.; Kochetkov, Yuri; Weintrob, Arkady 7 1991 Representations of Lie superalgebras. Zbl 0503.17002 Leites, D. A. 7 1983 A formula for the characters of finite dimensional irreducible representations of Lie superalgebras of the series \(C\). Zbl 0457.17003 Leites, D. A. 6 1980 Defining relations for classical Lie superalgebras without Cartan matrices. Zbl 0995.17010 Grozman, P.; Leites, D.; Poletaeva, E. 6 2002 The Riemann tensor for nonholonomic manifolds. Zbl 1015.53012 Leites, Dimitry 6 2002 Defining relations for classical Lie superalgebras. I: Superalgebras with Cartan matrix or Dynkin-type diagram. Zbl 1102.17302 Leĭtes, D.; Serganova, V. 6 1992 Nonholonomic Riemann and Weyl tensors for flag manifolds. Zbl 1141.17019 Grozman, P. Ya.; Leites, D. A. 6 2007 Computer-aided study of double extensions of restricted Lie superalgebras preserving the nondegenerate closed 2-forms in characteristic 2. Zbl 1498.17034 Bouarroudj, Sofiane; Leites, Dimitry; Shang, Jin 6 2022 Invariant differential operators and irreducible representations of Lie superalgebras of vector fields. Zbl 0506.17003 Bernshteĭn, I. N.; Leites, D. A. 6 1981 Classical superspaces and related structures. Zbl 0752.53016 Leites, Dimitry A.; Serganova, V.; Vinel, G. 6 1991 Symmetries wider than supersymmetry. Zbl 1248.17015 Leites, Dimitry; Serganova, Vera 6 2001 Minkowski superspaces and superstrings as almost real-complex supermanifolds. Zbl 1282.81142 Bouarroudj, S.; Grozman, P. Ya.; Leites, D. A.; Shchepochkina, I. M. 6 2012 Selected problems of supermanifold theory. Zbl 0646.58012 Leites, Dimitry A. 5 1987 Embedding of \(\text{osp}(n/2)\) and the associated nonlinear supersymmetric equations. Zbl 0664.17015 Leites, Dimitry A.; Savel’ev, M. V.; Serganova, V. V. 5 1986 Orthogonal polynomials of a discrete variable and Lie algebras of matrices of complex order. Zbl 1017.17021 Leites, D. A.; Sergeev, A. N. 5 2000 Defining relations associated with principal \({\mathfrak sl}(2)\)-subalgebras. Zbl 0854.17005 Grozman, P.; Leites, D. 5 1996 New Lie superalgebras of string theories. Zbl 0606.17002 Leites, D. A.; Feigin, B. L. 5 1983 Nondegenerate invariant symmetric bilinear forms on simple Lie superalgebras in characteristic 2. Zbl 1511.17019 Krutov, Andrey; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina 5 2022 The roots of exceptional modular Lie superalgebras with Cartan matrix. Zbl 1450.17006 Bouarroudj, Sofiane; Leites, Dimitry; Lozhechnyk, Olexander; Shang, Jin 5 2020 Irreducible representations of finite-dimensional Lie superalgebras of type \(W\). Zbl 0535.17002 Bernshtein, I. N.; Leites, D. A. 5 1984 Toward classification of classical Lie superalgebras. Zbl 1210.17008 Leĭtes, D. 5 1990 Defining relations for classical Lie algebras of polynomial vector fields. Zbl 0893.17003 Leites, D.; Poletaeva, E. 4 1997 Irreducible representations of finite-dimensional Lie superalgebras of the series \(W\). Zbl 0443.17003 Bernshtein, I. N.; Leites, D. A. 4 1979 Supergravities and contact type structures on supermanifolds. Zbl 0847.58008 Leites, D.; Poletaeva, E. 4 1995 Classification of simple Lie superalgebras in characteristic 2. Zbl 1523.17010 Bouarroudj, Sofiane; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina 4 2023 Kac-Moody superalgebras. Zbl 0606.17003 Leites, D. A.; Serganova, V. V.; Feigin, B. L. 4 1983 Integrable systems and Lie superalgebras. Zbl 0556.58014 Leites, D. A.; Semenov-Tian-Shansky, M. A. 4 1985 Manin-Olshansky triples for Lie superalgebras. Zbl 1015.17022 Leites, Dimitry; Shapovalov, Alexander 3 2000 The Shapovalov determinant for the Poisson superalgebras. Zbl 1049.17004 Grozman, Pavel; Leites, Dimitry 3 2001 On realizations of the Steenrod algebras. Zbl 1143.55011 Lebedev, Alexei; Leites, Dimitry 3 2006 Defining relations for the exceptional Lie superalgebras of vector fields. Zbl 1080.17013 Grozman, Pavel; Leites, Dimitry; Shchepochkina, Irina 3 2003 Inverses of Cartan matrices of Lie algebras and Lie superalgebras. Zbl 1464.17023 Leites, Dimitry; Lozhechnyk, Oleksandr 3 2019 Deformations of symmetric simple modular Lie (super)algebras. Zbl 07711511 Bouarroudj, Sofiane; Grozman, Pavel; Leites, Dimitry 3 2023 The Poincaré series of the hyperbolic Coxeter groups with finite volume of fundamental domains. Zbl 1362.20034 Chapovalov, Maxim; Leites, Dimitry; Stekolshchik, Rafael 3 2010 Prolongs of (ortho-)orthogonal Lie (super)algebras in characteristic 2. Zbl 1362.17029 Iyer, Uma N.; Lebedev, Alexei; Leites, Dimitry 3 2010 An unconventional supergravity. Zbl 1248.83139 Grozman, Pavel; Leites, Dimitry 3 2001 The Howe duality and Lie superalgebras. Zbl 1248.17004 Leites, Dimitry; Shchepochkina, Irina 3 2001 Irreducible representations of finite-dimensional Lie superalgebras of series W and S. Zbl 0408.17002 Bernstein, J. N.; Leites, D. A. 2 1979 Realization of Lie algebras and superalgebras in terms of creation and annihilation operators. I. Zbl 1112.17301 Burdík, Č.; Grozman, P.; Leites, D.; Sergeev, A. 2 2000 A certain analogue of the determinant. Zbl 0335.15011 Leĭtes, D. A. 2 1975 Supersymmetry of the Sturm-Liouville and Korteweg-de Vries operators. Zbl 1033.37037 Leites, Dimitry 2 2002 On critical dimensions of string theories. Zbl 1134.81399 Leites, Dimitry; Sachse, Christoph 2 2007 Automorphisms and real forms of simple Lie superalgebras of formal vector fields. Zbl 0578.17003 Leĭtes, D. A. 2 1983 Derivations and central extensions of symmetric modular Lie algebras and superalgebras (with an appendix by Andrey Krutov). Zbl 07711512 Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry 2 2023 Invariant differential operators in positive characteristic. Zbl 1425.17026 Bouarroudj, Sofiane; Leites, Dimitry 2 2018 Clifford algebras as superalgebras and quantization. Zbl 0572.17002 Leites, D. A. 2 1984 Analogues of the Riemannian structure for classical superspaces. Zbl 0795.53047 Leites, Dimitry A.; Poletaeva, E. 2 1992 Irreducible representations of Lie superalgebras of vector fields and invariant differential operators. Zbl 0493.58023 Leites, D. A. 2 1982 Representations of Lie superalgebras. Zbl 0497.17001 Leites, D. A. 2 1982 Lie superalgebra structures in \(H^\bullet(g;g)\). Zbl 1465.17019 Grozman, Pavel; Leites, Dimitry 2 2004 Two problems in the theory of differential equations. Zbl 1429.58006 Leites, D. A. 2 2019 Cohomology to compute. Zbl 0678.17001 Leites, Dimitry A.; Post, G. 1 1989 Shapovalov determinant for loop superalgebras. Zbl 1155.81336 Lebedev, A. V.; Leites, D. A. 1 2008 The highest weight representations of the contact Lie superalgebra on \(1|6\)-dimensional supercircle. Zbl 0942.17001 Grozman, P.; Leites, D. 1 1997 Feliks Aleksandrovich Berezin. Obituary. Zbl 0465.01008 Bogolyubov, N. N.; Gel’fand, I. M.; Dobrushin, R. L.; Kirillov, A. A.; Krein, M. G.; Leites, D. A.; Minlos, R. A.; Sinai, Ya. G.; Shubin, M. A. 1 1981 Classification of simple Lie superalgebras in characteristic 2. Zbl 1523.17010 Bouarroudj, Sofiane; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina 4 2023 Deformations of symmetric simple modular Lie (super)algebras. Zbl 07711511 Bouarroudj, Sofiane; Grozman, Pavel; Leites, Dimitry 3 2023 Derivations and central extensions of symmetric modular Lie algebras and superalgebras (with an appendix by Andrey Krutov). Zbl 07711512 Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry 2 2023 Computer-aided study of double extensions of restricted Lie superalgebras preserving the nondegenerate closed 2-forms in characteristic 2. Zbl 1498.17034 Bouarroudj, Sofiane; Leites, Dimitry; Shang, Jin 6 2022 Nondegenerate invariant symmetric bilinear forms on simple Lie superalgebras in characteristic 2. Zbl 1511.17019 Krutov, Andrey; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina 5 2022 Analogs of Bol operators for \(\mathfrak{pgl}(a+1\mid b)\subset\mathfrak{vect}(a\mid b)\). Zbl 1518.17009 Bouarroudj, Sofiane; Leites, Dimitry; Shchepochkina, Irina 1 2022 Analogs of Bol operators on superstrings. Zbl 1506.17008 Bouarroudj, Sofiane; Leites, Dimitry; Shchepochkina, Irina 1 2022 Simple vectorial Lie algebras in characteristic 2 and their superizations. Zbl 1476.17014 Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina 13 2020 The roots of exceptional modular Lie superalgebras with Cartan matrix. Zbl 1450.17006 Bouarroudj, Sofiane; Leites, Dimitry; Lozhechnyk, Olexander; Shang, Jin 5 2020 Inverses of Cartan matrices of Lie algebras and Lie superalgebras. Zbl 1464.17023 Leites, Dimitry; Lozhechnyk, Oleksandr 3 2019 Two problems in the theory of differential equations. Zbl 1429.58006 Leites, D. A. 2 2019 Non-degenerate invariant (super)symmetric bilinear forms on simple Lie (super)algebras. Zbl 1421.17003 Bouarroudj, Sofiane; Krutov, Andrey; Leites, Dimitry; Shchepochkina, Irina 11 2018 Restricted Lie (super)algebras in characteristic 3. Zbl 1420.17020 Bouarroudj, S.; Krutov, A. O.; Lebedev, A. V.; Leites, D. A.; Shchepochkina, I. M. 8 2018 Invariant differential operators in positive characteristic. Zbl 1425.17026 Bouarroudj, Sofiane; Leites, Dimitry 2 2018 New simple Lie algebras in characteristic 2. Zbl 1404.17026 Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina 15 2016 Lie algebra deformations in characteristic 2. Zbl 1361.17016 Bouarroudj, Sofiane; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina 12 2015 Minkowski superspaces and superstrings as almost real-complex supermanifolds. Zbl 1282.81142 Bouarroudj, S.; Grozman, P. Ya.; Leites, D. A.; Shchepochkina, I. M. 6 2012 Divided power (co)homology. Presentations of simple finite dimensional modular Lie superalgebras with Cartan matrix. Zbl 1200.17009 Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry 23 2010 The classification of almost affine (hyperbolic) Lie superalgebras. Zbl 1362.17044 Chapovalov, Danil; Chapovalov, Maxim; Lebedev, Alexei; Leites, Dimitry 13 2010 The Poincaré series of the hyperbolic Coxeter groups with finite volume of fundamental domains. Zbl 1362.20034 Chapovalov, Maxim; Leites, Dimitry; Stekolshchik, Rafael 3 2010 Prolongs of (ortho-)orthogonal Lie (super)algebras in characteristic 2. Zbl 1362.17029 Iyer, Uma N.; Lebedev, Alexei; Leites, Dimitry 3 2010 Defining relations of almost affine (hyperbolic) Lie superalgebras. Zbl 1362.17043 Bouarroudj, Sofian; Grozman, Pavel; Leites, Dimitry 1 2010 Examples of simple vectorial Lie algebras in characteristic 2. Zbl 1362.17030 Iyer, Uma N.; Leites, Dimitry; Messaoudene, Mohamed; Shchepochkina, Irina 1 2010 Classification of finite dimensional modular Lie superalgebras with indecomposable Cartan matrix. Zbl 1220.17010 Bouarroudj, Sofiane; Grozman, Pavel; Leites, Dimitry 41 2009 New simple modular Lie superalgebras as generalized prolongs. Zbl 1160.17012 Bouarroudj, S.; Grozman, P. Ya.; Leites, D. A. 15 2008 Shapovalov determinant for loop superalgebras. Zbl 1155.81336 Lebedev, A. V.; Leites, D. A. 1 2008 Towards classification of simple finite dimensional modular Lie superalgebras. Zbl 1172.17011 Leites, Dimitry 8 2007 Nonholonomic Riemann and Weyl tensors for flag manifolds. Zbl 1141.17019 Grozman, P. Ya.; Leites, D. A. 6 2007 On critical dimensions of string theories. Zbl 1134.81399 Leites, Dimitry; Sachse, Christoph 2 2007 Simple Lie superalgebras and nonintegrable distributions in characteristic \(p\). Zbl 1104.17011 Bouarroudj, S.; Leites, D. 8 2006 On realizations of the Steenrod algebras. Zbl 1143.55011 Lebedev, Alexei; Leites, Dimitry 3 2006 Structures of \(G(2)\) type and nonintegrable distributions in characteristic \(p\). Zbl 1146.17014 Grozman, Pavel; Leites, Dimitry 11 2005 Lie superalgebra structures in \(C^{\bullet} (\mathfrak n; \mathfrak n)\) and \(H^{\bullet}(\mathfrak n, \mathfrak n)\). Zbl 1106.17025 Lebedev, Alexei; Leites, Dimitry; Shereshevskii, Ilya 7 2005 Lie superalgebra structures in \(H^\bullet(g;g)\). Zbl 1465.17019 Grozman, Pavel; Leites, Dimitry 2 2004 Defining relations for the exceptional Lie superalgebras of vector fields. Zbl 1080.17013 Grozman, Pavel; Leites, Dimitry; Shchepochkina, Irina 3 2003 Invariant operators on supermanifolds and standard models. Zbl 1037.58003 Grozman, Pavel; Leites, Dimitry; Shchepochkina, Irina 20 2002 On Einstein equations on manifolds and supermanifolds. Zbl 1009.35085 Leites, D.; Poletaeva, E.; Serganova, V. 10 2002 Defining relations for classical Lie superalgebras without Cartan matrices. Zbl 0995.17010 Grozman, P.; Leites, D.; Poletaeva, E. 6 2002 The Riemann tensor for nonholonomic manifolds. Zbl 1015.53012 Leites, Dimitry 6 2002 Supersymmetry of the Sturm-Liouville and Korteweg-de Vries operators. Zbl 1033.37037 Leites, Dimitry 2 2002 Lie superalgebras of string theories. Zbl 1061.17021 Grozman, Pavel; Leites, Dimitry; Shchepochkina, Irina 32 2001 How to quantize the antibracket. Zbl 1039.17025 Leites, D. A.; Shchepochkina, I. M. 17 2001 Defining relations for Lie superalgebras with Cartan matrix. Zbl 0979.17002 Grozman, Pavel; Leites, Dimitry 15 2001 Symmetries wider than supersymmetry. Zbl 1248.17015 Leites, Dimitry; Serganova, Vera 6 2001 The Shapovalov determinant for the Poisson superalgebras. Zbl 1049.17004 Grozman, Pavel; Leites, Dimitry 3 2001 An unconventional supergravity. Zbl 1248.83139 Grozman, Pavel; Leites, Dimitry 3 2001 The Howe duality and Lie superalgebras. Zbl 1248.17004 Leites, Dimitry; Shchepochkina, Irina 3 2001 Lie superalgebras of supermatrices of complex size. Their generalization and related integrable systems. Zbl 0996.17003 Grozman, P.; Leites, D. 8 2000 Orthogonal polynomials of a discrete variable and Lie algebras of matrices of complex order. Zbl 1017.17021 Leites, D. A.; Sergeev, A. N. 5 2000 Manin-Olshansky triples for Lie superalgebras. Zbl 1015.17022 Leites, Dimitry; Shapovalov, Alexander 3 2000 Realization of Lie algebras and superalgebras in terms of creation and annihilation operators. I. Zbl 1112.17301 Burdík, Č.; Grozman, P.; Leites, D.; Sergeev, A. 2 2000 Mathematica-aided study of Lie algebras and their cohomology – from supergravity to ballbearings and magnetic hydrodynamics. Zbl 1059.17500 Grozman, P.; Leites, D. 10 1997 Quivers and Lie superalgebras. Zbl 0944.17005 Leites, D.; Shchepochkina, I. 9 1997 Defining relations for classical Lie algebras of polynomial vector fields. Zbl 0893.17003 Leites, D.; Poletaeva, E. 4 1997 The highest weight representations of the contact Lie superalgebra on \(1|6\)-dimensional supercircle. Zbl 0942.17001 Grozman, P.; Leites, D. 1 1997 Defining relations associated with principal \({\mathfrak sl}(2)\)-subalgebras. Zbl 0854.17005 Grozman, P.; Leites, D. 5 1996 Supergravities and contact type structures on supermanifolds. Zbl 0847.58008 Leites, D.; Poletaeva, E. 4 1995 Simple Lie algebras in characteristic 2 recovered from superalgebras and on the notion of a simple finite group. Zbl 0765.17006 Kochetkov, Yuri; Leites, Dimitry A. 18 1992 Defining relations for classical Lie superalgebras. I: Superalgebras with Cartan matrix or Dynkin-type diagram. Zbl 1102.17302 Leĭtes, D.; Serganova, V. 6 1992 Analogues of the Riemannian structure for classical superspaces. Zbl 0795.53047 Leites, Dimitry A.; Poletaeva, E. 2 1992 On the defining relations of quantum superalgebras. Zbl 0736.17015 Floreanini, Roberto; Leites, Dimitry A.; Vinet, Luc 27 1991 New invariant differential operators on supermanifolds and pseudo- (co)homology. Zbl 0773.58004 Leites, Dimitry A.; Kochetkov, Yuri; Weintrob, Arkady 7 1991 Classical superspaces and related structures. Zbl 0752.53016 Leites, Dimitry A.; Serganova, V.; Vinel, G. 6 1991 Models of representations of some classical supergroups. Zbl 0712.22013 Leites, Dimitry A.; Serganova, V. 1 1991 Metasymmetry and Volichenko algebras. Zbl 0753.17006 Leites, Dimitry A.; Serganova, V. 7 1990 Toward classification of classical Lie superalgebras. Zbl 1210.17008 Leĭtes, D. 5 1990 Cohomology to compute. Zbl 0678.17001 Leites, Dimitry A.; Post, G. 1 1989 Introduction to superanalysis. Ed. by A. A. Kirillov. Transl. from the Russian by J. Niederle and R. Kotecký, ed. and rev. by Dimitri Leites. Zbl 0659.58001 Berezin, Feliks Aleksandrovich 125 1987 Selected problems of supermanifold theory. Zbl 0646.58012 Leites, Dimitry A. 5 1987 Embedding of \(\text{osp}(n/2)\) and the associated nonlinear supersymmetric equations. Zbl 0664.17015 Leites, Dimitry A.; Savel’ev, M. V.; Serganova, V. V. 5 1986 Lie superalgebras. Zbl 0567.17003 Leĭtes, D. A. 9 1985 Integrable systems and Lie superalgebras. Zbl 0556.58014 Leites, D. A.; Semenov-Tian-Shansky, M. A. 4 1985 Cohomology of Lie superalgebras. Zbl 0586.17005 Fuks, D. B.; Leites, D. A. 25 1984 Solutions of the classical Yang-Baxter equation for simple superalgebras. Zbl 0537.22014 Leites, D. A.; Serganova, V. V. 13 1984 Irreducible representations of finite-dimensional Lie superalgebras of type \(W\). Zbl 0535.17002 Bernshtein, I. N.; Leites, D. A. 5 1984 Clifford algebras as superalgebras and quantization. Zbl 0572.17002 Leites, D. A. 2 1984 Clifford algebras as superalgebras and quantization. Zbl 0535.58029 Leites, D. A. 1 1984 Theory of supermanifolds. (Теория многообразии.) Zbl 0599.58001 Leites, D. A. 33 1983 Representations of Lie superalgebras. Zbl 0503.17002 Leites, D. A. 7 1983 New Lie superalgebras of string theories. Zbl 0606.17002 Leites, D. A.; Feigin, B. L. 5 1983 Kac-Moody superalgebras. Zbl 0606.17003 Leites, D. A.; Serganova, V. V.; Feigin, B. L. 4 1983 Automorphisms and real forms of simple Lie superalgebras of formal vector fields. Zbl 0578.17003 Leĭtes, D. A. 2 1983 Integrable systems and Lie superalgebras. Zbl 0526.58025 Leites, D. A.; Semenov-Tian-Shansky, M. A. 1 1983 The superalgebra \(Q(n)\), the odd trace and the odd determinant. Zbl 0494.17002 Bernshtein, I. N.; Leites, D. A. 9 1982 Irreducible representations of Lie superalgebras of vector fields and invariant differential operators. Zbl 0493.58023 Leites, D. A. 2 1982 Representations of Lie superalgebras. Zbl 0497.17001 Leites, D. A. 2 1982 Invariant differential operators and irreducible representations of Lie super algebras of divergence free vector fields. Zbl 0529.17002 Leites, D. A. 1 1982 Invariant differential operators and irreducible representations of Lie superalgebras of vector fields. Zbl 0517.17001 Bernshtein, I. N.; Leites, D. A. 8 1981 Invariant differential operators and irreducible representations of Lie superalgebras of vector fields. Zbl 0506.17003 Bernshteĭn, I. N.; Leites, D. A. 6 1981 Feliks Aleksandrovich Berezin. Obituary. Zbl 0465.01008 Bogolyubov, N. N.; Gel’fand, I. M.; Dobrushin, R. L.; Kirillov, A. A.; Krein, M. G.; Leites, D. A.; Minlos, R. A.; Sinai, Ya. G.; Shubin, M. A. 1 1981 Introduction to the theory of supermanifolds. Zbl 0462.58002 Leites, D. A. 166 1980 Introduction to the theory of supermanifolds. Zbl 0439.58007 Leites, D. A. 73 1980 A formula for the characters of finite dimensional irreducible representations of Lie superalgebras of the series \(\text{Gl}\) and \(\text{sl}\). Zbl 0457.17002 Bernshtein, I. N.; Leites, D. A. 25 1980 Examples of simple infinite dimensional Lie superalgebras of vector fields. Zbl 0457.17005 Alekseevskii, D. V.; Leites, D. A.; Shchepochkina, I. M. 9 1980 Formulas for the characters of irreducible finite-dimensional representations of simple Lie superalgebras. Zbl 0443.17004 Leites, D. A. 9 1980 Character formulas of irreducible finite-dimensional representations of simple Lie superalgebras. Zbl 0431.17005 Leites, D. A. 7 1980 A formula for the characters of finite dimensional irreducible representations of Lie superalgebras of the series \(C\). Zbl 0457.17003 Leites, D. A. 6 1980 Irreducible representations of finite-dimensional Lie superalgebras of the series \(W\). Zbl 0443.17003 Bernshtein, I. N.; Leites, D. A. 4 1979 Irreducible representations of finite-dimensional Lie superalgebras of series W and S. Zbl 0408.17002 Bernstein, J. N.; Leites, D. A. 2 1979 Integration of differential forms on supermanifolds. Zbl 0423.58003 Bernshtein, I. N.; Leites, D. A. 7 1978 ...and 8 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 613 Authors 36 Leites, Dimitry A. 22 Bouarroudj, Sofiane 13 Liu, Wende 12 Zhang, Ruibin 11 Lebedev, Aleksei Vital’evich 11 Zhang, Yongzheng 9 Bruce, Andrew James 9 Bruzzo, Ugo 9 Serganova, Vera V. 9 Tyutin, Igor Viktorovich 9 Van der Jeugt, Joris 7 Alldridge, Alexander 7 Fioresi, Rita 7 Grozman, Pavel 7 Krutov, Andrey Olegovich 7 Penkov, Ivan B. 7 Shchepochkina, Irina 7 Su, Yucai 6 Cheng, Shun-Jen 6 Ovsienko, Valentin Yu. 6 Pestov, Vladimir G. 6 Poncin, Norbert 6 Santi, Andrea 6 Sergeev, Aleksandr Nikolaevich 6 Sommen, Franciscus 6 Zusmanovich, Pasha 5 Adán, Alí Guzmán 5 Azizpour, Esmaeil 5 Duplij, Steven 5 Grassi, Pietro Antonio 5 Groeger, Josua 5 Lavrov, Petr M. 5 Shchepochkina, I. M. 5 Stoilova, Nedjalka I. 5 Vishnyakova, E. G. 5 Zheng, Keli 4 Ben Ammar, Mabrouk 4 Ben Fraj, Nizar 4 Benayadi, Saïd 4 Brundan, Jonathan 4 Carmeli, Claudio 4 Chen, Liangyun 4 Covolo, Tiffany 4 Cremonini, Carlo Alberto 4 Galaev, Anton S. 4 Grabowski, Janusz 4 Hernández Ruipérez, Daniel 4 Ikeda, Kaoru 4 Iyer, Uma N. 4 Khalfoun, Hafedh 4 Kwok, Stephen Diwen 4 Laraiedh, Ismail 4 Maeda, Yoshiaki 4 Martínez López, Consuelo 4 Monterde, Juan 4 Noja, Simone 4 Palev, Tchavdar D. 4 Rothstein, Mitchell J. 4 Sánchez Valenzuela, Oscar Adolfo 4 Vishnyakova, Elizaveta 4 Voronov, Theodore 3 Abdaoui, Meher 3 Barannikov, Serguei Aleksandrovich 3 Bartocci, Claudio 3 Bettadapura, Kowshik 3 Campoamor-Stursberg, Rutwig 3 Cariñena, José F. 3 Chemla, Sophie 3 De Bie, Hendrik 3 El Gradechi, Amine M. 3 Elduque, Alberto 3 Gargoubi, Hichem 3 Geer, Nathan 3 Gorelik, Maria 3 Grozman, P. Ya. 3 Gruson, Caroline 3 Hilgert, Joachim 3 Hughes, J. W. B. 3 Iohara, Kenji 3 Kac, Victor 3 Kujawa, Jonathan Robert 3 Kwon, Jae-Hoon 3 Manin, Yuriĭ Ivanovich 3 Mathonet, Pierre 3 Navarro, Rosa María 3 Omri, Salem 3 Oviaño García, Francisco 3 Petrogradsky, Victor Mikhaylovich 3 Poletaeva, Elena 3 Radchenko, Olga V. 3 Schwarz, Albert S. 3 Shemyakova, Ekaterina 3 Shu, Bin 3 Smirnov, Alexander G. 3 Tuynman, Gijs M. 3 Vallejo, José Antonio 3 Wurzbacher, Tilmann 3 Xu, Xiaoning 3 Yang, Yong 3 Yuan, Jixia ...and 513 more Authors all top 5 Cited in 138 Serials 58 Journal of Mathematical Physics 49 Journal of Geometry and Physics 40 Journal of Algebra 33 Communications in Mathematical Physics 29 Letters in Mathematical Physics 20 Theoretical and Mathematical Physics 18 Advances in Mathematics 18 Functional Analysis and its Applications 14 Journal of High Energy Physics 14 Journal of Nonlinear Mathematical Physics 13 Differential Geometry and its Applications 12 Journal of Pure and Applied Algebra 12 International Journal of Geometric Methods in Modern Physics 10 Journal of Soviet Mathematics 9 Communications in Algebra 9 Nuclear Physics. 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Series A ...and 38 more Serials all top 5 Cited in 48 Fields 369 Nonassociative rings and algebras (17-XX) 205 Global analysis, analysis on manifolds (58-XX) 143 Quantum theory (81-XX) 107 Differential geometry (53-XX) 61 Associative rings and algebras (16-XX) 55 Algebraic geometry (14-XX) 47 Several complex variables and analytic spaces (32-XX) 34 Dynamical systems and ergodic theory (37-XX) 31 Functional analysis (46-XX) 27 Group theory and generalizations (20-XX) 27 Topological groups, Lie groups (22-XX) 25 Partial differential equations (35-XX) 22 Relativity and gravitational theory (83-XX) 16 Category theory; homological algebra (18-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 13 Combinatorics (05-XX) 11 Functions of a complex variable (30-XX) 11 Algebraic topology (55-XX) 11 Manifolds and cell complexes (57-XX) 11 Mechanics of particles and systems (70-XX) 9 Commutative algebra (13-XX) 5 Operator theory (47-XX) 4 Number theory (11-XX) 4 \(K\)-theory (19-XX) 4 Geometry (51-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General topology (54-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year