119 citations · 294 across the 47 of their papers we have counts for
3 papers · 2 filters
Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras
Abdenacer Makhlouf, Sergei Silvestrov
The aim of this paper is to extend to Hom-algebra structures the theory of formal deformations of algebras which was introduced by Gerstenhaber for associative algebras and extende…
Hom-Lie admissible Hom-coalgebras and Hom-Hopf algebras
Abdenacer Makhlouf, Sergei Silvestrov
The aim of this paper is to generalize the concept of Lie-admissible coalgebra introduced by Goze and Remm to Hom-coalgebras and to introduce Hom-Hopf algebras with some properties…
Algebraic curves for commuting elements in the q-deformed Heisenberg algebra
Marcel de Jeu, Christian Svensson, Sergei Silvestrov
In this paper we extend the eliminant construction of Burchnall and Chaundy for commuting differential operators in the Heisenberg algebra to the q-deformed Heisenberg algebra and…