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Author ID: leites.dimitry-a Recent zbMATH articles by "Leites, Dimitry A."
Published as: Leites, D. A.; Leites, Dimitry; Leites, D.; Leites, Dimitry A.; Leĭtes, D. A.; Leĭtes, D.

Publications by Year

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 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. B
9 Transactions of the American Mathematical Society
8 Transformation Groups
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Linear Algebra and its Applications
7 Representation Theory
6 Mathematische Zeitschrift
6 Journal of Mathematical Sciences (New York)
6 Algebras and Representation Theory
5 Reviews in Mathematical Physics
5 Journal of Lie Theory
4 Annales de l’Institut Fourier
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 Archivum Mathematicum
3 Proceedings of the American Mathematical Society
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Acta Applicandae Mathematicae
3 Forum Mathematicum
3 International Journal of Algebra and Computation
3 Expositiones Mathematicae
3 Annales de l’Institut Henri Poincaré. Physique Théorique
3 Annales Henri Poincaré
3 Journal of Algebra and its Applications
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 Siberian Mathematical Journal
2 European Journal of Combinatorics
2 Chinese Annals of Mathematics. Series B
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 Journal of Physics A: Mathematical and Theoretical
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 Israel Journal of Mathematics
1 Linear and Multilinear Algebra
1 Physics Letters. A
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 Journal für die Reine und Angewandte Mathematik
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 Rendiconti del Circolo Matemàtico di Palermo. Serie II
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 Revista Matemática Iberoamericana
1 Science in China. Series A
...and 38 more Serials
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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