Zobrazeno 1 - 10
of 74
pro vyhledávání: '"KAC, V. G."'
Autor:
Alekseevsky, D. V., Belolipetsky, M. V., Gindikin, S. G., Kac, V. G., Panyushev, D. I., Timashev, D. A., Shvartsman, O. V., Elashvili, A. G., Yakimova, O. S.
The article is a report on the biography and achievements of Ernest Borisovich Vinberg, an outstanding Russian mathematician, who passed away in Moscow on May 12, 2020. We discuss his contributions to various areas of mathematics such as Riemannian a
Externí odkaz:
http://arxiv.org/abs/2108.02544
This paper is a continuation of the theory of cyclic elements in semisimple Lie algebras, developed by Elashvili, Kac and Vinberg. Its main result is the classification of semisimple cyclic elements in semisimple Lie algebras. The importance of this
Externí odkaz:
http://arxiv.org/abs/1907.09170
In this paper we study gradings on simple Lie algebras arising from nilpotent elements. Specifically, we investigate abelian subalgebras which are degree 1 homogeneous with respect to these gradings. We show that for each odd nilpotent element there
Externí odkaz:
http://arxiv.org/abs/1806.00893
Publikováno v:
Transformation Groups 18 (2013), 97-130
A theory of cyclic elements in semisimple Lie algebras is developed. It is applied to an explicit construction of regular elements in Weyl groups.
Comment: 33 pages
Comment: 33 pages
Externí odkaz:
http://arxiv.org/abs/1205.0515
Publikováno v:
J. Lie Theory 19 (2009), 371-390
We classify all pairs (m,e), where m is a positive integer and e is a nilpotent element of a semisimple Lie algebra, which arise in the classification of simple rational W-algebras.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/0812.1571
Publikováno v:
Adv. Math. 204 (2006), no. 1, 278-346
One of the algebraic structures that has emerged recently in the study of the operator product expansions of chiral fields in conformal field theory is that of a Lie conformal algebra [K]. A Lie pseudoalgebra is a generalization of the notion of a Li
Externí odkaz:
http://arxiv.org/abs/math/0410213
Autor:
Elashvili, A. G., Kac, V. G.
Publikováno v:
Amer. Math. Soc. Transl. (2) vol 213 (2005), 85-104
We study and give a complete classification of good $\ZZ$-gradings of all simple finite-dimensional Lie algebras. This problem arose in the quantum Hamiltonian reduction for affine Lie algebras.
Comment: needs AMS trans2-1.cls
Comment: needs AMS trans2-1.cls
Externí odkaz:
http://arxiv.org/abs/math-ph/0312030
The problem of classification of infinite subalgebras of Cend_N and of gc_N that acts irreducibly on $\Bbb C[\partial]^N$ is discussed in this paper.
Comment: 33 pages, AMStex file
Comment: 33 pages, AMStex file
Externí odkaz:
http://arxiv.org/abs/math-ph/0203022
Autor:
Kac, V. G., Smilga, A. V.
Publikováno v:
Nucl.Phys.B571:515-554,2000
We study the question of existence and the number of normalized vacuum states in N = 4 super-Yang-Mills quantum mechanics for any gauge group. The mass deformation method is the simplest and clearest one. It allowed us to calculate the number of norm
Externí odkaz:
http://arxiv.org/abs/hep-th/9908096
Autor:
Kac, V. G., Smilga, A. V.
We consider the pure supersymmetric Yang--Mills theories placed on a small 3-dimensional spatial torus with higher orthogonal and exceptional gauge groups. The problem of constructing the quantum vacuum states is reduced to a pure mathematical proble
Externí odkaz:
http://arxiv.org/abs/hep-th/9902029