25 citations · 31 across the 5 of their papers we have counts for
5 papers
Quasi-Deformations of sl_2(\F) using twisted derivations
Daniel Larsson, Sergei D. Silvestrov
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…
Quasi-hom-Lie Algebras, Central Extensions and 2-cocycle-like Identities
Daniel Larsson, Sergei Silvestrov
This paper begins by introducing the concept of a quasi-hom-Lie algebra which is a natural generalization of hom-Lie algebras introduced in a previous paper by the authors. Quasi-h…
Representations and Cocycle Twists of Color Lie Algebras
Xiao-Wu Chen, Sergei D. Silvestrov, Fred van Oystaeyen
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-propert…
Bosonic realizations of the color analogue of the Heisenberg Lie algebra
Gunnar Sigurdsson, Sergei D. Silvestrov
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…
Monotone operator functions on -algebra
Hiroyuki Osaka, Sergei D. Silvestrov, Jun Tomiyama
The article is devoted to investigation of classes of functions monotone as functions on general -algebras that are not necessarily the -algebras of all bounded linear op…