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math.QA2018
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…
math.RA2018
-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…
math.QA2018
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…