1 citations · 1 across the 5 of their papers we have counts for
6 papers
Noncommutative localization in smooth deformation quantization
Hamilton Araujo, Martin Bordemann, Benedikt Hurle
In this paper we shall show the equivalence of algebraic and analytic localisation for algebras of smooth deformation quantization for several situations. The proofs are based on o…
A diagram connecting Symmetric Leibniz algebras with Lie-admissible algebras
Benedikt Hurle
In this paper we study symmetric Leibniz and related algebras, namely symmetric dialgebras and symmetric Perm-algebras. We also calculate their Koszul duals, if not known. This wil…
alpha-type Chevalley-Eilenberg cohomology of Hom-Lie algebras and bialgebras
Benedikt Hurle, Abdenacer Makhlouf
The purpose of this paper is to define an -type cohomology, which we call -type Chevalley-Eilenberg cohomology, for Hom-Lie algebras. We relate it to the known Chevalley-Eile…
Quantization of color Lie bialgebras
Benedikt Hurle, Abdenacer Makhlouf
The main purpose of this paper is to study Quantization of color Lie bialgebras, generalizing to color case the approach by Etingof-Kazhdan which were considered for superbialgebra…
-type Hochschild cohomology of Hom-associative algebras and Hom-bialgebras
Benedikt Hurle, Abdenacer Makhlouf
In this paper we define a new cohomology for multiplicative Hom-associative algebras, which generalize Hochschild cohomology and fits with deformations of Hom-associative algebras…
Bimodule deformation of fibered manifolds and the HKR theorem
Benedikt Hurle
We first want to consider the formal deformation of a fibered manifold as a (bi-)module or subalgebra, where has a given differential star product. Consequent…