18 citations · 22 across the 5 of their papers we have counts for
5 papers
L-infinity Formality check for the Hochschild Complex of Certain Universal Enveloping Algebras
Martin Bordemann, Olivier Elchinger, Simone Gutt +1
We study the L-infinity-formality problem for the Hochschild complex of the universal enveloping algebra of some examples of Lie algebras such as Cartan-3-regular quadratic Lie alg…
A formality framework for commutative deformations
Olivier Elchinger
In this article, we use Harrison cohomology to provide a framework for commutative deformations. In particular, Kontsevich's result that formality of (the Hochschild complex of) an…
Study of formality for the Heisenberg algebra
Olivier Elchinger
In this paper, we compute the Chevalley-Eilenberg cohomology of the three-dimensionnal Heisenberg Lie algebra with values in its universal enveloping algebra. We also compte the Sc…
Brackets with -derivations and -deformations of Witt and Virasoro algebras
Olivier Elchinger, Karl Lundengard, Abdenacer Makhlouf +1
The aim of this paper is to study some brackets defined on -derivations satisfying quasi-Lie identities. Moreover, we provide examples of -deformations of Witt and Vi…
Twisting Poisson algebras, coPoisson algebras and Quantization
Martin Bordemann, Olivier Elchinger, Abdenacer Makhlouf
The purpose of this paper is to study twistings of Poisson algebras or bialgebras, coPoisson algebras or bialgebras and star-products. We con- sider Hom-algebraic structures genera…