Edit Profile (opens in new tab) Leites, Dimitry A. Compute Distance To: Compute 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: 114 Publications since 1974, including 1 Book 1 Further Contribution Reviewing Activity: 64 Reviews Co-Authors: 49 Co-Authors with 81 Joint Publications 1,444 Co-Co-Authors all top 5 Co-Authors 28 single-authored 16 Bouarroudj, Sofiane 13 Grozman, Pavel 13 Lebedev, Aleksei Vital’evich 12 Shchepochkina, Irina 11 Bernstein, Joseph 9 Serganova, Vera V. 5 Poletaeva, Elena 4 Shchepochkina, I. M. 3 Grozman, P. Ya. 3 Kirillov, Alexandre Aleksandrovich 3 Krutov, Andrey Olegovich 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 Lozhechnyk, Oleksandr 2 Minlos, Robert Adol’fovich 2 Saveliev, Mikhail V. 2 Semenov-Tyan-Shanskiĭ, Mikhail Arsen’evich 2 Sergeev, Aleksandr Nikolaevich 2 Shang, Jin 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 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 IMRN. International Mathematics Research Notices 2 Linear Algebra and its Applications 2 Serdica 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 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 International Journal of Algebra and Computation 1 Experimental Mathematics 1 Zapiski Nauchnykh Seminarov POMI 1 Journal of Mathematical Sciences (New York) 1 Mathematical Research Letters 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 94 Nonassociative rings and algebras (17-XX) 30 Global analysis, analysis on manifolds (58-XX) 21 Quantum theory (81-XX) 12 Differential geometry (53-XX) 11 Dynamical systems and ergodic theory (37-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Topological groups, Lie groups (22-XX) 5 Partial differential equations (35-XX) 5 Mechanics of particles and systems (70-XX) 5 Relativity and gravitational theory (83-XX) 4 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Ordinary differential equations (34-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 96 Publications have been cited 880 times in 534 Documents Cited by ▼ Year ▼ Introduction to the theory of supermanifolds. Zbl 0462.58002Leites, D. A. 150 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 0659.58001Berezin, Feliks Aleksandrovich 80 1987 Introduction to the theory of supermanifolds. Zbl 0439.58007Leites, D. A. 69 1980 Supermanifolds. Zbl 0331.58005Berezin, F. A.; Leites, D. A. 38 1975 Classification of finite dimensional modular Lie superalgebras with indecomposable Cartan matrix. Zbl 1220.17010Bouarroudj, Sofiane; Grozman, Pavel; Leites, Dimitry 34 2009 Lie superalgebras of string theories. Zbl 1061.17021Grozman, Pavel; Leites, Dimitry; Shchepochkina, Irina 30 2001 Theory of supermanifolds. (Теория многообразии.) Zbl 0599.58001Leites, D. A. 27 1983 On the defining relations of quantum superalgebras. Zbl 0736.17015Floreanini, Roberto; Leites, Dimitry A.; Vinet, Luc 24 1991 Cohomology of Lie superalgebras. Zbl 0586.17005Fuks, D. B.; Leites, D. A. 24 1984 A formula for the characters of finite dimensional irreducible representations of Lie superalgebras of the series \(\text{Gl}\) and \(\text{sl}\). Zbl 0457.17002Bernshtein, I. N.; Leites, D. A. 22 1980 Divided power (co)homology. Presentations of simple finite dimensional modular Lie superalgebras with Cartan matrix. Zbl 1200.17009Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry 18 2010 Simple Lie algebras in characteristic 2 recovered from superalgebras and on the notion of a simple finite group. Zbl 0765.17006Kochetkov, Yuri; Leites, Dimitry A. 17 1992 Invariant operators on supermanifolds and standard models. Zbl 1037.58003Grozman, Pavel; Leites, Dimitry; Shchepochkina, Irina 17 2002 New Lie superalgebras and mechanics. Zbl 0403.17002Leites, D. A. 15 1977 How to quantize the antibracket. Zbl 1039.17025Leites, D. A.; Shchepochkina, I. M. 14 2001 New simple modular Lie superalgebras as generalized prolongs. Zbl 1160.17012Bouarroudj, S.; Grozman, P. Ya.; Leites, D. A. 13 2008 New simple Lie algebras in characteristic 2. Zbl 1404.17026Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina 12 2016 Solutions of the classical Yang-Baxter equation for simple superalgebras. Zbl 0537.22014Leites, D. A.; Serganova, V. V. 12 1984 Integral forms and the Stokes formula on supermanifolds. Zbl 0352.58004Bernstein, I. N.; Leites, D. A. 11 1977 How to integrate differential forms on supermanifolds. Zbl 0364.58005Bernstein, I. N.; Leites, D. A. 11 1977 Defining relations for Lie superalgebras with Cartan matrix. Zbl 0979.17002Grozman, Pavel; Leites, Dimitry 11 2001 Spectra of graded commutative rings. (Spektra graduiert-kommutativer Ringe.) Zbl 0326.14001Leites, D. A. 10 1974 Cohomology of Lie superalgebras. Zbl 0352.17007Leites, D. A. 9 1976 Integral forms and the Stokes formula on supermanifolds. Zbl 0369.58005Bernstein, I. N.; Leites, D. A. 9 1977 Lie algebra deformations in characteristic 2. Zbl 1361.17016Bouarroudj, Sofiane; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina 9 2015 The classification of almost affine (hyperbolic) Lie superalgebras. Zbl 1362.17044Chapovalov, Danil; Chapovalov, Maxim; Lebedev, Alexei; Leites, Dimitry 9 2010 Mathematica-aided study of Lie algebras and their cohomology – from supergravity to ballbearings and magnetic hydrodynamics. Zbl 1059.17500Grozman, P.; Leites, D. 9 1997 Quivers and Lie superalgebras. Zbl 0944.17005Leites, D.; Shchepochkina, I. 9 1997 Formulas for the characters of irreducible finite-dimensional representations of simple Lie superalgebras. Zbl 0443.17004Leites, D. A. 9 1980 On Einstein equations on manifolds and supermanifolds. Zbl 1009.35085Leites, D.; Poletaeva, E.; Serganova, V. 9 2002 Examples of simple infinite dimensional Lie superalgebras of vector fields. Zbl 0457.17005Alekseevskii, D. V.; Leites, D. A.; Shchepochkina, I. M. 9 1980 Simple Lie superalgebras and nonintegrable distributions in characteristic \(p\). Zbl 1104.17011Bouarroudj, S.; Leites, D. 8 2006 Lie superalgebras. Zbl 0567.17003Leĭtes, D. A. 8 1985 Structures of \(G(2)\) type and nonintegrable distributions in characteristic \(p\). Zbl 1146.17014Grozman, Pavel; Leites, Dimitry 8 2005 Lie superalgebras of supermatrices of complex size. Their generalization and related integrable systems. Zbl 0996.17003Grozman, P.; Leites, D. 7 2000 The superalgebra \(Q(n)\), the odd trace and the odd determinant. Zbl 0494.17002Bernshtein, I. N.; Leites, D. A. 7 1982 Character formulas of irreducible finite-dimensional representations of simple Lie superalgebras. Zbl 0431.17005Leites, D. A. 7 1980 New invariant differential operators on supermanifolds and pseudo- (co)homology. Zbl 0773.58004Leites, Dimitry A.; Kochetkov, Yuri; Weintrob, Arkady 6 1991 Invariant differential operators and irreducible representations of Lie superalgebras of vector fields. Zbl 0517.17001Bernshtein, I. N.; Leites, D. A. 6 1981 Integration of differential forms on supermanifolds. Zbl 0423.58003Bernshtein, I. N.; Leites, D. A. 6 1978 Lie superalgebra structures in \(C^{\bullet} (\mathfrak n; \mathfrak n)\) and \(H^{\bullet}(\mathfrak n, \mathfrak n)\). Zbl 1106.17025Lebedev, Alexei; Leites, Dimitry; Shereshevskii, Ilya 6 2005 A formula for the characters of finite dimensional irreducible representations of Lie superalgebras of the series \(C\). Zbl 0457.17003Leites, D. A. 6 1980 Metasymmetry and Volichenko algebras. Zbl 0753.17006Leites, Dimitry A.; Serganova, V. 5 1990 Non-degenerate invariant (super)symmetric bilinear forms on simple Lie (super)algebras. Zbl 1421.17003Bouarroudj, Sofiane; Krutov, Andrey; Leites, Dimitry; Shchepochkina, Irina 5 2018 Restricted Lie (super)algebras in characteristic 3. Zbl 1420.17020Bouarroudj, S.; Krutov, A. O.; Lebedev, A. V.; Leites, D. A.; Shchepochkina, I. M. 5 2018 Selected problems of supermanifold theory. Zbl 0646.58012Leites, Dimitry A. 5 1987 Representations of Lie superalgebras. Zbl 0503.17002Leites, D. A. 5 1983 Invariant differential operators and irreducible representations of Lie superalgebras of vector fields. Zbl 0506.17003Bernshteĭn, I. N.; Leites, D. A. 5 1981 Supergravities and contact type structures on supermanifolds. Zbl 0847.58008Leites, D.; Poletaeva, E. 4 1995 Kac-Moody superalgebras. Zbl 0606.17003Leites, D. A.; Serganova, V. V.; Feigin, B. L. 4 1983 Irreducible representations of finite-dimensional Lie superalgebras of type \(W\). Zbl 0535.17002Bernshtein, I. N.; Leites, D. A. 4 1984 Classical superspaces and related structures. Zbl 0752.53016Leites, Dimitry A.; Serganova, V.; Vinel, G. 4 1991 Integrable systems and Lie superalgebras. Zbl 0556.58014Leites, D. A.; Semenov-Tian-Shansky, M. A. 4 1985 Towards classification of simple finite dimensional modular Lie superalgebras. Zbl 1172.17011Leites, Dimitry 4 2007 Nonholonomic Riemann and Weyl tensors for flag manifolds. Zbl 1141.17019Grozman, P. Ya.; Leites, D. A. 4 2007 Defining relations for classical Lie superalgebras. I: Superalgebras with Cartan matrix or Dynkin-type diagram. Zbl 1102.17302Leĭtes, D.; Serganova, V. 4 1992 Defining relations for classical Lie superalgebras without Cartan matrices. Zbl 0995.17010Grozman, P.; Leites, D.; Poletaeva, E. 4 2002 The Riemann tensor for nonholonomic manifolds. Zbl 1015.53012Leites, Dimitry 4 2002 Orthogonal polynomials of a discrete variable and Lie algebras of matrices of complex order. Zbl 1017.17021Leites, D. A.; Sergeev, A. N. 4 2000 Simple vectorial Lie algebras in characteristic 2 and their superizations. Zbl 1476.17014Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina 4 2020 New Lie superalgebras of string theories. Zbl 0606.17002Leites, D. A.; Feigin, B. L. 3 1983 Defining relations for classical Lie algebras of polynomial vector fields. Zbl 0893.17003Leites, D.; Poletaeva, E. 3 1997 The Shapovalov determinant for the Poisson superalgebras. Zbl 1049.17004Grozman, Pavel; Leites, Dimitry 3 2001 Minkowski superspaces and superstrings as almost real-complex supermanifolds. Zbl 1282.81142Bouarroudj, S.; Grozman, P. Ya.; Leites, D. A.; Shchepochkina, I. M. 3 2012 Symmetries wider than supersymmetry. Zbl 1248.17015Leites, Dimitry; Serganova, Vera 3 2001 The Howe duality and Lie superalgebras. Zbl 1248.17004Leites, Dimitry; Shchepochkina, Irina 3 2001 Defining relations for the exceptional Lie superalgebras of vector fields. Zbl 1080.17013Grozman, Pavel; Leites, Dimitry; Shchepochkina, Irina 3 2003 Manin-Olshansky triples for Lie superalgebras. Zbl 1015.17022Leites, Dimitry; Shapovalov, Alexander 3 2000 Irreducible representations of finite-dimensional Lie superalgebras of the series \(W\). Zbl 0443.17003Bernshtein, I. N.; Leites, D. A. 3 1979 A certain analogue of the determinant. Zbl 0335.15011Leĭtes, D. A. 2 1975 Irreducible representations of finite-dimensional Lie superalgebras of series W and S. Zbl 0408.17002Bernstein, J. N.; Leites, D. A. 2 1979 Invariant differential operators in positive characteristic. Zbl 1425.17026Bouarroudj, Sofiane; Leites, Dimitry 2 2018 Defining relations associated with principal \({\mathfrak sl}(2)\)-subalgebras. Zbl 0854.17005Grozman, P.; Leites, D. 2 1996 The Poincaré series of the hyperbolic Coxeter groups with finite volume of fundamental domains. Zbl 1362.20034Chapovalov, Maxim; Leites, Dimitry; Stekolshchik, Rafael 2 2010 Realization of Lie algebras and superalgebras in terms of creation and annihilation operators. I. Zbl 1112.17301Burdík, Č.; Grozman, P.; Leites, D.; Sergeev, A. 2 2000 An unconventional supergravity. Zbl 1248.83139Grozman, Pavel; Leites, Dimitry 2 2001 Inverses of Cartan matrices of Lie algebras and Lie superalgebras. Zbl 1464.17023Leites, Dimitry; Lozhechnyk, Oleksandr 2 2019 Clifford algebras as superalgebras and quantization. Zbl 0572.17002Leites, D. A. 2 1984 Automorphisms and real forms of simple Lie superalgebras of formal vector fields. Zbl 0578.17003Leĭtes, D. A. 2 1983 Irreducible representations of Lie superalgebras of vector fields and invariant differential operators. Zbl 0493.58023Leites, D. A. 2 1982 Representations of Lie superalgebras. Zbl 0497.17001Leites, D. A. 2 1982 Toward classification of classical Lie superalgebras. Zbl 1210.17008Leĭtes, D. 2 1990 Cohomology to compute. Zbl 0678.17001Leites, Dimitry A.; Post, G. 1 1989 Models of representations of some classical supergroups. Zbl 0712.22013Leites, Dimitry A.; Serganova, V. 1 1991 Defining relations of almost affine (hyperbolic) Lie superalgebras. Zbl 1362.17043Bouarroudj, Sofian; Grozman, Pavel; Leites, Dimitry 1 2010 Prolongs of (ortho-)orthogonal Lie (super)algebras in characteristic 2. Zbl 1362.17029Iyer, Uma N.; Lebedev, Alexei; Leites, Dimitry 1 2010 Examples of simple vectorial Lie algebras in characteristic 2. Zbl 1362.17030Iyer, Uma N.; Leites, Dimitry; Messaoudene, Mohamed; Shchepochkina, Irina 1 2010 On critical dimensions of string theories. Zbl 1134.81399Leites, Dimitry; Sachse, Christoph 1 2007 Supersymmetry of the Sturm-Liouville and Korteweg-de Vries operators. Zbl 1033.37037Leites, Dimitry 1 2002 Analogues of the Riemannian structure for classical superspaces. Zbl 0795.53047Leites, Dimitry A.; Poletaeva, E. 1 1992 Clifford algebras as superalgebras and quantization. Zbl 0535.58029Leites, D. A. 1 1984 On realizations of the Steenrod algebras. Zbl 1143.55011Lebedev, Alexei; Leites, Dimitry 1 2006 Integrable systems and Lie superalgebras. Zbl 0526.58025Leites, D. A.; Semenov-Tian-Shansky, M. A. 1 1983 Invariant differential operators and irreducible representations of Lie super algebras of divergence free vector fields. Zbl 0529.17002Leites, D. A. 1 1982 The highest weight representations of the contact Lie superalgebra on \(1|6\)-dimensional supercircle. Zbl 0942.17001Grozman, P.; Leites, D. 1 1997 Feliks Aleksandrovich Berezin. Obituary. Zbl 0465.01008Bogolyubov, 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 Simple vectorial Lie algebras in characteristic 2 and their superizations. Zbl 1476.17014Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina 4 2020 Inverses of Cartan matrices of Lie algebras and Lie superalgebras. Zbl 1464.17023Leites, Dimitry; Lozhechnyk, Oleksandr 2 2019 Non-degenerate invariant (super)symmetric bilinear forms on simple Lie (super)algebras. Zbl 1421.17003Bouarroudj, Sofiane; Krutov, Andrey; Leites, Dimitry; Shchepochkina, Irina 5 2018 Restricted Lie (super)algebras in characteristic 3. Zbl 1420.17020Bouarroudj, S.; Krutov, A. O.; Lebedev, A. V.; Leites, D. A.; Shchepochkina, I. M. 5 2018 Invariant differential operators in positive characteristic. Zbl 1425.17026Bouarroudj, Sofiane; Leites, Dimitry 2 2018 New simple Lie algebras in characteristic 2. Zbl 1404.17026Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina 12 2016 Lie algebra deformations in characteristic 2. Zbl 1361.17016Bouarroudj, Sofiane; Lebedev, Alexei; Leites, Dimitry; Shchepochkina, Irina 9 2015 Minkowski superspaces and superstrings as almost real-complex supermanifolds. Zbl 1282.81142Bouarroudj, S.; Grozman, P. Ya.; Leites, D. A.; Shchepochkina, I. M. 3 2012 Divided power (co)homology. Presentations of simple finite dimensional modular Lie superalgebras with Cartan matrix. Zbl 1200.17009Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry 18 2010 The classification of almost affine (hyperbolic) Lie superalgebras. Zbl 1362.17044Chapovalov, Danil; Chapovalov, Maxim; Lebedev, Alexei; Leites, Dimitry 9 2010 The Poincaré series of the hyperbolic Coxeter groups with finite volume of fundamental domains. Zbl 1362.20034Chapovalov, Maxim; Leites, Dimitry; Stekolshchik, Rafael 2 2010 Defining relations of almost affine (hyperbolic) Lie superalgebras. Zbl 1362.17043Bouarroudj, Sofian; Grozman, Pavel; Leites, Dimitry 1 2010 Prolongs of (ortho-)orthogonal Lie (super)algebras in characteristic 2. Zbl 1362.17029Iyer, Uma N.; Lebedev, Alexei; Leites, Dimitry 1 2010 Examples of simple vectorial Lie algebras in characteristic 2. Zbl 1362.17030Iyer, Uma N.; Leites, Dimitry; Messaoudene, Mohamed; Shchepochkina, Irina 1 2010 Classification of finite dimensional modular Lie superalgebras with indecomposable Cartan matrix. Zbl 1220.17010Bouarroudj, Sofiane; Grozman, Pavel; Leites, Dimitry 34 2009 New simple modular Lie superalgebras as generalized prolongs. Zbl 1160.17012Bouarroudj, S.; Grozman, P. Ya.; Leites, D. A. 13 2008 Towards classification of simple finite dimensional modular Lie superalgebras. Zbl 1172.17011Leites, Dimitry 4 2007 Nonholonomic Riemann and Weyl tensors for flag manifolds. Zbl 1141.17019Grozman, P. Ya.; Leites, D. A. 4 2007 On critical dimensions of string theories. Zbl 1134.81399Leites, Dimitry; Sachse, Christoph 1 2007 Simple Lie superalgebras and nonintegrable distributions in characteristic \(p\). Zbl 1104.17011Bouarroudj, S.; Leites, D. 8 2006 On realizations of the Steenrod algebras. Zbl 1143.55011Lebedev, Alexei; Leites, Dimitry 1 2006 Structures of \(G(2)\) type and nonintegrable distributions in characteristic \(p\). Zbl 1146.17014Grozman, Pavel; Leites, Dimitry 8 2005 Lie superalgebra structures in \(C^{\bullet} (\mathfrak n; \mathfrak n)\) and \(H^{\bullet}(\mathfrak n, \mathfrak n)\). Zbl 1106.17025Lebedev, Alexei; Leites, Dimitry; Shereshevskii, Ilya 6 2005 Defining relations for the exceptional Lie superalgebras of vector fields. Zbl 1080.17013Grozman, Pavel; Leites, Dimitry; Shchepochkina, Irina 3 2003 Invariant operators on supermanifolds and standard models. Zbl 1037.58003Grozman, Pavel; Leites, Dimitry; Shchepochkina, Irina 17 2002 On Einstein equations on manifolds and supermanifolds. Zbl 1009.35085Leites, D.; Poletaeva, E.; Serganova, V. 9 2002 Defining relations for classical Lie superalgebras without Cartan matrices. Zbl 0995.17010Grozman, P.; Leites, D.; Poletaeva, E. 4 2002 The Riemann tensor for nonholonomic manifolds. Zbl 1015.53012Leites, Dimitry 4 2002 Supersymmetry of the Sturm-Liouville and Korteweg-de Vries operators. Zbl 1033.37037Leites, Dimitry 1 2002 Lie superalgebras of string theories. Zbl 1061.17021Grozman, Pavel; Leites, Dimitry; Shchepochkina, Irina 30 2001 How to quantize the antibracket. Zbl 1039.17025Leites, D. A.; Shchepochkina, I. M. 14 2001 Defining relations for Lie superalgebras with Cartan matrix. Zbl 0979.17002Grozman, Pavel; Leites, Dimitry 11 2001 The Shapovalov determinant for the Poisson superalgebras. Zbl 1049.17004Grozman, Pavel; Leites, Dimitry 3 2001 Symmetries wider than supersymmetry. Zbl 1248.17015Leites, Dimitry; Serganova, Vera 3 2001 The Howe duality and Lie superalgebras. Zbl 1248.17004Leites, Dimitry; Shchepochkina, Irina 3 2001 An unconventional supergravity. Zbl 1248.83139Grozman, Pavel; Leites, Dimitry 2 2001 Lie superalgebras of supermatrices of complex size. Their generalization and related integrable systems. Zbl 0996.17003Grozman, P.; Leites, D. 7 2000 Orthogonal polynomials of a discrete variable and Lie algebras of matrices of complex order. Zbl 1017.17021Leites, D. A.; Sergeev, A. N. 4 2000 Manin-Olshansky triples for Lie superalgebras. Zbl 1015.17022Leites, Dimitry; Shapovalov, Alexander 3 2000 Realization of Lie algebras and superalgebras in terms of creation and annihilation operators. I. Zbl 1112.17301Burdík, 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 1059.17500Grozman, P.; Leites, D. 9 1997 Quivers and Lie superalgebras. Zbl 0944.17005Leites, D.; Shchepochkina, I. 9 1997 Defining relations for classical Lie algebras of polynomial vector fields. Zbl 0893.17003Leites, D.; Poletaeva, E. 3 1997 The highest weight representations of the contact Lie superalgebra on \(1|6\)-dimensional supercircle. Zbl 0942.17001Grozman, P.; Leites, D. 1 1997 Defining relations associated with principal \({\mathfrak sl}(2)\)-subalgebras. Zbl 0854.17005Grozman, P.; Leites, D. 2 1996 Supergravities and contact type structures on supermanifolds. Zbl 0847.58008Leites, D.; Poletaeva, E. 4 1995 Simple Lie algebras in characteristic 2 recovered from superalgebras and on the notion of a simple finite group. Zbl 0765.17006Kochetkov, Yuri; Leites, Dimitry A. 17 1992 Defining relations for classical Lie superalgebras. I: Superalgebras with Cartan matrix or Dynkin-type diagram. Zbl 1102.17302Leĭtes, D.; Serganova, V. 4 1992 Analogues of the Riemannian structure for classical superspaces. Zbl 0795.53047Leites, Dimitry A.; Poletaeva, E. 1 1992 On the defining relations of quantum superalgebras. Zbl 0736.17015Floreanini, Roberto; Leites, Dimitry A.; Vinet, Luc 24 1991 New invariant differential operators on supermanifolds and pseudo- (co)homology. Zbl 0773.58004Leites, Dimitry A.; Kochetkov, Yuri; Weintrob, Arkady 6 1991 Classical superspaces and related structures. Zbl 0752.53016Leites, Dimitry A.; Serganova, V.; Vinel, G. 4 1991 Models of representations of some classical supergroups. Zbl 0712.22013Leites, Dimitry A.; Serganova, V. 1 1991 Metasymmetry and Volichenko algebras. Zbl 0753.17006Leites, Dimitry A.; Serganova, V. 5 1990 Toward classification of classical Lie superalgebras. Zbl 1210.17008Leĭtes, D. 2 1990 Cohomology to compute. Zbl 0678.17001Leites, 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 0659.58001Berezin, Feliks Aleksandrovich 80 1987 Selected problems of supermanifold theory. Zbl 0646.58012Leites, Dimitry A. 5 1987 Lie superalgebras. Zbl 0567.17003Leĭtes, D. A. 8 1985 Integrable systems and Lie superalgebras. Zbl 0556.58014Leites, D. A.; Semenov-Tian-Shansky, M. A. 4 1985 Cohomology of Lie superalgebras. Zbl 0586.17005Fuks, D. B.; Leites, D. A. 24 1984 Solutions of the classical Yang-Baxter equation for simple superalgebras. Zbl 0537.22014Leites, D. A.; Serganova, V. V. 12 1984 Irreducible representations of finite-dimensional Lie superalgebras of type \(W\). Zbl 0535.17002Bernshtein, I. N.; Leites, D. A. 4 1984 Clifford algebras as superalgebras and quantization. Zbl 0572.17002Leites, D. A. 2 1984 Clifford algebras as superalgebras and quantization. Zbl 0535.58029Leites, D. A. 1 1984 Theory of supermanifolds. (Теория многообразии.) Zbl 0599.58001Leites, D. A. 27 1983 Representations of Lie superalgebras. Zbl 0503.17002Leites, D. A. 5 1983 Kac-Moody superalgebras. Zbl 0606.17003Leites, D. A.; Serganova, V. V.; Feigin, B. L. 4 1983 New Lie superalgebras of string theories. Zbl 0606.17002Leites, D. A.; Feigin, B. L. 3 1983 Automorphisms and real forms of simple Lie superalgebras of formal vector fields. Zbl 0578.17003Leĭtes, D. A. 2 1983 Integrable systems and Lie superalgebras. Zbl 0526.58025Leites, D. A.; Semenov-Tian-Shansky, M. A. 1 1983 The superalgebra \(Q(n)\), the odd trace and the odd determinant. Zbl 0494.17002Bernshtein, I. N.; Leites, D. A. 7 1982 Irreducible representations of Lie superalgebras of vector fields and invariant differential operators. Zbl 0493.58023Leites, D. A. 2 1982 Representations of Lie superalgebras. Zbl 0497.17001Leites, D. A. 2 1982 Invariant differential operators and irreducible representations of Lie super algebras of divergence free vector fields. Zbl 0529.17002Leites, D. A. 1 1982 Invariant differential operators and irreducible representations of Lie superalgebras of vector fields. Zbl 0517.17001Bernshtein, I. N.; Leites, D. A. 6 1981 Invariant differential operators and irreducible representations of Lie superalgebras of vector fields. Zbl 0506.17003Bernshteĭn, I. N.; Leites, D. A. 5 1981 Feliks Aleksandrovich Berezin. Obituary. Zbl 0465.01008Bogolyubov, 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 0462.58002Leites, D. A. 150 1980 Introduction to the theory of supermanifolds. Zbl 0439.58007Leites, D. A. 69 1980 A formula for the characters of finite dimensional irreducible representations of Lie superalgebras of the series \(\text{Gl}\) and \(\text{sl}\). Zbl 0457.17002Bernshtein, I. N.; Leites, D. A. 22 1980 Formulas for the characters of irreducible finite-dimensional representations of simple Lie superalgebras. Zbl 0443.17004Leites, D. A. 9 1980 Examples of simple infinite dimensional Lie superalgebras of vector fields. Zbl 0457.17005Alekseevskii, D. V.; Leites, D. A.; Shchepochkina, I. M. 9 1980 Character formulas of irreducible finite-dimensional representations of simple Lie superalgebras. Zbl 0431.17005Leites, D. A. 7 1980 A formula for the characters of finite dimensional irreducible representations of Lie superalgebras of the series \(C\). Zbl 0457.17003Leites, D. A. 6 1980 Irreducible representations of finite-dimensional Lie superalgebras of the series \(W\). Zbl 0443.17003Bernshtein, I. N.; Leites, D. A. 3 1979 Irreducible representations of finite-dimensional Lie superalgebras of series W and S. Zbl 0408.17002Bernstein, J. N.; Leites, D. A. 2 1979 Integration of differential forms on supermanifolds. Zbl 0423.58003Bernshtein, I. N.; Leites, D. A. 6 1978 New Lie superalgebras and mechanics. Zbl 0403.17002Leites, D. A. 15 1977 Integral forms and the Stokes formula on supermanifolds. Zbl 0352.58004Bernstein, I. N.; Leites, D. A. 11 1977 How to integrate differential forms on supermanifolds. Zbl 0364.58005Bernstein, I. N.; Leites, D. A. 11 1977 Integral forms and the Stokes formula on supermanifolds. Zbl 0369.58005Bernstein, I. N.; Leites, D. A. 9 1977 Cohomology of Lie superalgebras. Zbl 0352.17007Leites, D. A. 9 1976 Supermanifolds. Zbl 0331.58005Berezin, F. A.; Leites, D. A. 38 1975 A certain analogue of the determinant. Zbl 0335.15011Leĭtes, D. A. 2 1975 Spectra of graded commutative rings. (Spektra graduiert-kommutativer Ringe.) Zbl 0326.14001Leites, D. A. 10 1974 all cited Publications top 5 cited Publications all top 5 Cited by 534 Authors 31 Leites, Dimitry A. 17 Bouarroudj, Sofiane 12 Liu, Wende 11 Zhang, Ruibin 11 Zhang, Yongzheng 10 Lebedev, Aleksei Vital’evich 9 Serganova, Vera V. 9 Tyutin, Igor Viktorovich 9 Van der Jeugt, Joris 7 Alldridge, Alexander 7 Bruce, Andrew James 7 Bruzzo, Ugo 7 Penkov, Ivan B. 7 Su, Yucai 6 Fioresi, Rita 6 Krutov, Andrey Olegovich 6 Ovsienko, Valentin Yu. 6 Pestov, Vladimir G. 6 Poncin, Norbert 6 Sergeev, Aleksandr Nikolaevich 6 Shchepochkina, Irina 6 Sommen, Franciscus 6 Zusmanovich, Pasha 5 Adán, Alí Guzmán 5 Duplij, Steven 5 Groeger, Josua 5 Grozman, Pavel 5 Lavrov, Petr M. 5 Shchepochkina, I. M. 5 Stoilova, Nedjalka I. 4 Azizpour, Esmaeil 4 Ben Ammar, Mabrouk 4 Ben Fraj, Nizar 4 Brundan, Jonathan 4 Chen, Liangyun 4 Cheng, Shun-Jen 4 Covolo, Tiffany 4 Galaev, Anton S. 4 Grassi, Pietro Antonio 4 Ikeda, Kaoru 4 Iyer, Uma N. 4 Khalfoun, Hafedh 4 Kwok, Stephen Diwen 4 Laraiedh, Ismail 4 Martínez López, Consuelo 4 Palev, Tchavdar D. 4 Rothstein, Mitchell J. 4 Sánchez Valenzuela, Oscar Adolfo 4 Santi, Andrea 4 Vishnyakova, E. G. 4 Voronov, Theodore 4 Zheng, Keli 3 Abdaoui, Meher 3 Barannikov, Serguei Aleksandrovich 3 Bartocci, Claudio 3 Benayadi, Saïd 3 Bettadapura, Kowshik 3 Campoamor-Stursberg, Rutwig 3 Cariñena, José F. 3 Carmeli, Claudio 3 Chemla, Sophie 3 De Bie, Hendrik 3 El Gradechi, Amine M. 3 Gargoubi, Hichem 3 Geer, Nathan 3 Grabowski, Janusz 3 Grozman, P. Ya. 3 Gruson, Caroline 3 Hernández Ruipérez, Daniel 3 Hilgert, Joachim 3 Hughes, J. W. B. 3 Iohara, Kenji 3 Kac, Victor G. 3 Kujawa, Jonathan Robert 3 Kwon, Jae-Hoon 3 Manin, Yuriĭ Ivanovich 3 Mathonet, Pierre 3 Monterde, Juan 3 Oviaño García, Francisco 3 Petrogradsky, Victor Mikhaylovich 3 Poletaeva, Elena 3 Radchenko, Olga V. 3 Schwarz, Albert S. 3 Shemyakova, Ekaterina 3 Smirnov, Alexander G. 3 Tuynman, Gijs M. 3 Vishnyakova, Elizaveta 3 Wurzbacher, Tilmann 3 Xu, Xiaoning 3 Yuan, Jixia 3 Zel’manov, Efim Isaakovich 3 Zou, Yiming 2 Akin, Kaan 2 Andruskiewitsch, Nicolás 2 Arnal, Didier 2 Bai, Wei 2 Bazhanov, Vladimir V. 2 Benkart, Georgia M. 2 Boujelben, Jamel 2 Cantarini, Nicoletta ...and 434 more Authors all top 5 Cited in 126 Serials 56 Journal of Mathematical Physics 43 Journal of Geometry and Physics 36 Journal of Algebra 33 Communications in Mathematical Physics 28 Letters in Mathematical Physics 20 Theoretical and Mathematical Physics 18 Functional Analysis and its Applications 17 Advances in Mathematics 14 Journal of Nonlinear Mathematical Physics 12 Differential Geometry and its Applications 10 Journal of Soviet Mathematics 10 International Journal of Geometric Methods in Modern Physics 9 Journal of Pure and Applied Algebra 8 Nuclear Physics. B 8 Transactions of the American Mathematical Society 7 Communications in Algebra 7 Linear Algebra and its Applications 7 Representation Theory 6 Journal of Mathematical Sciences (New York) 5 Mathematische Zeitschrift 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Reviews in Mathematical Physics 4 Transformation Groups 4 Algebras and Representation Theory 4 Journal of High Energy Physics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 International Journal of Modern Physics A 3 Mathematical Notes 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Annales de l’Institut Fourier 3 Proceedings of the American Mathematical Society 3 Acta Applicandae Mathematicae 3 Expositiones Mathematicae 3 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Bulletin of the Australian Mathematical Society 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 Physics Letters. B 2 Reports on Mathematical Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Czechoslovak Mathematical Journal 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Journal of Functional Analysis 2 Manuscripta Mathematica 2 Monatshefte für Mathematik 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Siberian Mathematical Journal 2 European Journal of Combinatorics 2 Chinese Annals of Mathematics. Series B 2 Forum Mathematicum 2 International Journal of Algebra and Computation 2 Journal of Algebraic Combinatorics 2 Advances in Applied Clifford Algebras 2 Selecta Mathematica. New Series 2 Abstract and Applied Analysis 2 Mathematical Physics, Analysis and Geometry 2 Acta Mathematica Sinica. English Series 2 Lobachevskii Journal of Mathematics 2 Frontiers of Mathematics in China 2 São Paulo Journal of Mathematical Sciences 2 Advances in Mathematical Physics 2 Journal of Geometric Mechanics 2 Science China. Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Communications in Mathematics 2 Forum of Mathematics, Sigma 2 Arnold Mathematical Journal 1 International Journal of Theoretical Physics 1 Linear and Multilinear Algebra 1 Algebra and Logic 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Applied Mathematics and Computation 1 Bulletin de la Société Mathématique de France 1 Colloquium Mathematicum 1 Publications Mathématiques 1 Kodai Mathematical Journal 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Note di Matematica 1 Acta Mathematica Hungarica 1 Annals of Global Analysis and Geometry 1 Probability Theory and Related Fields 1 Science in China. Series A 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 Russian Journal of Mathematical Physics 1 Algebra Colloquium 1 Annales Mathématiques Blaise Pascal 1 Turkish Journal of Mathematics 1 Journal of Lie Theory 1 Bulletin des Sciences Mathématiques 1 Doklady Mathematics 1 Taiwanese Journal of Mathematics ...and 26 more Serials all top 5 Cited in 45 Fields 324 Nonassociative rings and algebras (17-XX) 185 Global analysis, analysis on manifolds (58-XX) 125 Quantum theory (81-XX) 97 Differential geometry (53-XX) 58 Associative rings and algebras (16-XX) 49 Algebraic geometry (14-XX) 39 Several complex variables and analytic spaces (32-XX) 31 Dynamical systems and ergodic theory (37-XX) 30 Functional analysis (46-XX) 25 Topological groups, Lie groups (22-XX) 23 Partial differential equations (35-XX) 19 Group theory and generalizations (20-XX) 18 Relativity and gravitational theory (83-XX) 13 Category theory; homological algebra (18-XX) 12 Combinatorics (05-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 10 Functions of a complex variable (30-XX) 9 Algebraic topology (55-XX) 9 Manifolds and cell complexes (57-XX) 8 Commutative algebra (13-XX) 8 Mechanics of particles and systems (70-XX) 4 Number theory (11-XX) 4 \(K\)-theory (19-XX) 4 Operator theory (47-XX) 4 Geometry (51-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-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 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-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