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Letters in Mathematical Physics, ISSN 0377-9017, 2/2019, Volume 109, Issue 2, pp. 243 - 293
...Lett Math Phys (2019) 109:243–293 https://doi.org/10.1007/s11005-018-1105-9 Graded manifolds of type null and n-fold vector bundles Elizaveta Vishnyakova 1... 
Geometry | Double vector bundle | 32C11 | Theoretical, Mathematical and Computational Physics | Complex Systems | Lie algebroid | Graded manifold | Group Theory and Generalizations | 51P05 | Physics | 53D17
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 06/2018, pp. 1 - 51
Journal Article
Journal of Lie Theory, ISSN 0949-5932, 2014, Volume 25, Issue 2, pp. 459 - 476
Journal Article
International mathematics research notices, ISSN 1073-7928, 02/2019
Journal Article
Communications in Algebra, ISSN 0092-7872, 10/2019, Volume 47, Issue 10, pp. 4247 - 4261
We compute the Lie superalgebras of holomorphic vector fields on isotropic flag supermanifolds of maximal type corresponding to the Lie superalgebra 
flag supermanifolds | Lie superalgebra of vector fields | Fields (mathematics)
Journal Article
Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, 2019, Volume 116, Issue 11, pp. 4940 - 4945
Journal Article
Communications in algebra, ISSN 0092-7872, 10/2019, Volume 47, Issue 10, pp. 4247 - 4261
Journal Article
Journal of Algebra, ISSN 0021-8693, 07/2018, Volume 506, pp. 215 - 236
The paper is devoted to a computation of the Lie superalgebras of holomorphic vector fields on isotropic flag supermanifolds of maximal type corresponding to... 
Flag supermanifolds | Superalgebras of holomorphic vector fields
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 02/2019, Volume 109, Issue 2, p. 243
Vector bundles and double vector bundles, or twofold vector bundles, arise naturally for instance as base spaces for algebraic structures such as Lie... 
Journal Article
Journal of Algebra, ISSN 0021-8693, 07/2018, Volume 506, p. 215
The paper is devoted to a computation of the Lie superalgebras of holomorphic vector fields on isotropic flag supermanifolds of maximal type corresponding to... 
Journal Article
Differential Geometry and its Applications, ISSN 0926-2245, 02/2018, Volume 56, pp. 155 - 160
This paper is devoted to an elementary new construction of 1-singular Gelfand–Tsetlin modules using complex geometry. We introduce a universal ring Dv together... 
Journal Article
Differential geometry and its applications, ISSN 0926-2245, 02/2018, Volume 56, pp. 155 - 160
Journal Article
08/2019
We prove that under certain assumptions a supermanifold of flags is rigid, this is its complex structure does not admit any non-trivial small deformation.... 
Journal Article
Journal of Geometry and Physics, ISSN 0393-0440, 12/2015, Volume 98, pp. 340 - 354
We study n-ary commutative superalgebras and L∞-algebras that possess a skew-symmetric invariant form, using the derived bracket formalism. This class of... 
[formula omitted]-ary and [formula omitted]-algebras | Lie [formula omitted]-algebras | Invariant form | algebras | Lie n-algebras | N-ary and L | MATHEMATICS | COHOMOLOGY | n-ary and L-infinity-algebras | LIE | PHYSICS, MATHEMATICAL | Algebra
Journal Article
01/2018
We compute the Lie superalgebras of holomorphic vector fields on isotropic flag supermanifolds of maximal type corresponding to the Lie superalgebra... 
Journal Article
05/2017
We give an elementary construction of a $p\geq 1$-singular Gelfand-Tsetlin $\mathfrak{gl}_n(\mathbb C)$-module in terms of local distributions. This is a... 
Journal Article
04/2017
This paper is devoted to an elementary new construction of $1$-singular Gelfand-Tsetlin modules using complex geometry. We introduce a universal ring $\mathcal... 
Journal Article
11/2016
Vector bundles and double vector bundles, or $2$-fold vector bundles, arise naturally for instance as base spaces for algebraic structures such as Lie... 
Journal Article
11/2016
The method of double extension, introduced by A.~Medina and Ph.~Revoy, is a procedure which decomposes a Lie algebra with an invariant symmetric form into... 
Journal Article
11/2018
We construct a new class of algebras resembling enveloping algebras and generalizing orthogonal Gelfand-Zeitlin algebras and rational Galois algebras studied... 
Mathematics - Representation Theory
Journal Article
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