Zobrazeno 1 - 10
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pro vyhledávání: '"Drensky, Vesselin"'
Autor:
Drensky, Vesselin, Kostadinov, Boyan
We consider the 2-generated free metabelian associative and Lie algebras over the complex field and the invariants of the dihedral groups of finite order acting on these algebras. In the associative case we find a finite set of generators of the alge
Externí odkaz:
http://arxiv.org/abs/2311.09380
We introduce the variety ${\mathfrak B}_{\textrm{sup}}$ of bicommutative superalgebras over an arbitrary field of characteristic different from 2. The variety consists of all nonassociative ${\mathbb Z}_2$-graded algebras satisfying the polynomial su
Externí odkaz:
http://arxiv.org/abs/2305.09927
Autor:
Drensky, Vesselin
Publikováno v:
Math. and Education in Math., Proc. of the 24-th Spring Conf. of the Union of Bulgar. Mathematicians, Svishtov, April 4-7, 1995, 14-50
The purpose of this survey paper is to bring to a large mathematical audience (containing also non-algebraists) some topics of invariant theory both in the classical commutative and the recent noncommutative case. We have included only several topics
Externí odkaz:
http://arxiv.org/abs/2302.10052
Autor:
Drensky, Vesselin S.
Publikováno v:
Serdica 9 (1983), No. 1, 79-82 (Russian)
Over an arbitrary field of positive characteristic we construct an example of a locally finite variety of Lie algebras which does not have a finite basis of its polynomial identities. As a consequence we construct varieties of Lie algebras with presc
Externí odkaz:
http://arxiv.org/abs/2301.12572
Let $F$ be a field of characteristic $0$ and let $E$ be the infinite dimensional Grassmann algebra over $F$. In the first part of this paper we give an algorithm calculating the generating function of the cocharacter sequence of the $n\times n$ upper
Externí odkaz:
http://arxiv.org/abs/2301.02566
Autor:
Drensky, Vesselin
The variety of bicommutative algebras consists of all nonassociative algebras satisfying the polynomial identities of right- and left-commutativity $(x_1x_2)x_3=(x_1x_3)x_2$ and $x_1(x_2x_3)=x_2(x_1x_3)$. Let $F_d$ be the free $d$-generated bicommuta
Externí odkaz:
http://arxiv.org/abs/2210.08317
Publikováno v:
In Journal of Algebra 15 August 2024 652:158-187
Autor:
Drensky, Vesselin S.
Publikováno v:
Pliska Stud. Math. Bulgar. 8 (1986), 77-84, in Russian
We describe the weak polynomial identities of the Jordan algebra of symmetric $2\times 2$ matrices over a field of characteristic zero. The corresponding weak verbal ideal is generated by the standard identity of degree four and the metabelian identi
Externí odkaz:
http://arxiv.org/abs/2008.13286
Autor:
Drensky, Vesselin
Let $R$ be an associative algebra over a field $K$ generated by a vector subspace $V$. The polynomial $f(x_1,\ldots,x_n)$ of the free associative algebra $K\langle x_1,x_2,\ldots\rangle$ is a weak polynomial identity for the pair $(R,V)$ if it vanish
Externí odkaz:
http://arxiv.org/abs/2007.13634