[en] The aim of this paper is to study some brackets defined on (τ, σ )-derivations sat-
isfying quasi-Lie identities. Moreover, we provide examples of (p, q)-deformations
of Witt and Virasoro algebras as well as sl(2) algebra. These constructions gen-
eralize the results obtained by Hartwig, Larsson and Silvestrov on σ -derivations,
arising in connection with discretizations and deformations of algebras of vector
fields.
Disciplines :
Mathématiques
Auteur, co-auteur :
ELCHINGER, Olivier ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Lundengård, Karl
Mahklouf, Abdenacer
Silvestrov, Sergei
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
Brackets with (τ, σ )-derivations and (p, q)-deformations of Witt and Virasoro algebras
