Bordemann, Martin; Université de Haute Alsace, Mulhouse
RIVIERE, Salim ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
An inverse to the antisymmetrization map of Cartan and Eilenberg
Publication date :
2014
Commentary :
This is a preprint of a joint work with M. Bordemann (UHA, Mulhouse), in which an explicit quasi-inverse to the antisymmetrization map between the Chevalley-Eilenberg complex of a Lie algebra and the Hochschild complex of its universal enveloping algebra is defined. Moreover, we provide an explicit formula for a contraction so that Hochschild homology appears as a deformation retract of Chevalley-Eilenberg homology. A third paragraph on quantification of coboundary Lie bialgebras, a bibliography, and an appendix should be added soon.
