Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Silvestrov, Sergei D."'
The purpose of this paper is to discuss the universal algebra theory of hom-algebras. This kind of algebra involves a linear map which twists the usual identities. We focus on hom-associative algebras and hom-Lie algebras for which we review the main
Externí odkaz:
http://arxiv.org/abs/1404.2516
The aim of this paper is to study some brackets defined on $(\tau,\sigma)$-derivations satisfying quasi-Lie identities. Moreover, we provide examples of $(p,q)$-deformations of Witt and Virasoro algebras as well as $\mathfrak{sl}(2)$ algebra. These c
Externí odkaz:
http://arxiv.org/abs/1403.6291
Publikováno v:
Journal of Algebra and Its Applications 12 (2013), no. 4, 1250192, 16 pp
The aim of this article is to describe necessary and sufficient conditions for simplicity of Ore extension rings, with an emphasis on differential polynomial rings. We show that a differential polynomial ring, R[x;id,\delta], is simple if and only if
Externí odkaz:
http://arxiv.org/abs/1111.1292
Autor:
Oinert, Johan, Silvestrov, Sergei D.
We investigate properties of commutative subrings and ideals in non-commutative algebraic crossed products for actions by arbitrary groups. A description of the commutant of the base coefficient subring in the crossed product ring is given. Condition
Externí odkaz:
http://arxiv.org/abs/0710.0065
Autor:
Larsson, Daniel, Silvestrov, Sergei D.
In this paper we apply a method devised in \cite{HartLarsSilv1D,LarsSilv1D} to the three-dimensional simple Lie algebra $\sll$. One of the main points of this deformation method is that the deformed algebra comes endowed with a canonical twisted Jaco
Externí odkaz:
http://arxiv.org/abs/math/0506172
Publikováno v:
Algebras and Representation Theory, Vol.9, No.6 (2006), 633-650
We study relations between finite-dimensional representations of color Lie algebras and their cocycle twists. Main tools are the universal enveloping algebras and their FCR-properties (finite-dimensional representations are completely reducible.) Coc
Externí odkaz:
http://arxiv.org/abs/math/0407165
We describe realizations of the color analogue of the Heisenberg Lie algebra by power series in non-commuting indeterminates satisfying Heisenberg's canonical commutation relations of quantum mechanics. The obtained formulas are used to construct new
Externí odkaz:
http://arxiv.org/abs/math/0311204
The article is devoted to investigation of classes of functions monotone as functions on general $C^*$-algebras that are not necessarily the $C^*$-algebras of all bounded linear operators on a Hilbert space as it is in classical case of matrix and op
Externí odkaz:
http://arxiv.org/abs/math/0311072
Publikováno v:
Mathematical Proceedings of the Royal Irish Academy, 2009 Oct 01. 109A(2), 163-186.
Externí odkaz:
https://www.jstor.org/stable/40657000
Autor:
Richard, Lionel, Silvestrov, Sergei D.
Publikováno v:
In Journal of Algebra 2008 319(3):1285-1304