An inverse to the antisymmetrization map of Cartan and Eilenberg

Reference : An inverse to the antisymmetrization map of Cartan and Eilenberg


	Document type :	E-prints/Working papers : First made available on ORBilu
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/14159

Title :	An inverse to the antisymmetrization map of Cartan and Eilenberg
Language :	English
Author, co-author :	Bordemann, Martin [Université de Haute Alsace, Mulhouse]
	Riviere, Salim [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	2014
Peer reviewed :	No
Keywords :	[en] chevalley-Eilenberg ; Hochschild ; Eulerian idempotent ; explicit contracting homotopy
Permalink :	http://hdl.handle.net/10993/14159
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.

File(s) associated to this reference

Fulltext file(s):

	File	Commentary	Version	Size	Access
Open access	article-BRW-2013.pdf		Author preprint	335.61 kB	View/Open

All documents in ORBi^lu are protected by a user license.