A Homotopy in the Usual Cochain Complex of Free Lie Algebras

Patsourakos, A

dc.contributor.author	Patsourakos, A	en
dc.date.accessioned	2014-03-01T01:12:33Z
dc.date.available	2014-03-01T01:12:33Z
dc.date.issued	1997	en
dc.identifier.issn	0377-9017	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12126
dc.subject	Cochain complex	en
dc.subject	Cohomology theory	en
dc.subject	Contracting homotopy	en
dc.subject	Lie algebras	en
dc.subject.classification	Physics, Mathematical	en
dc.title	A Homotopy in the Usual Cochain Complex of Free Lie Algebras	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/A:1007312205995	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1007312205995	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	In this Letter, we construct a natural contracting homotopy in the usual cochain complex of free Lie algebras. As a consequence, we prove that the triple cohomology of Lie algebras coincides with a slightly different form of the standard cohomology theory.	en
heal.publisher	KLUWER ACADEMIC PUBL	en
heal.journalName	Letters in Mathematical Physics	en
dc.identifier.doi	10.1023/A:1007312205995	en
dc.identifier.isi	ISI:A1997XW53000007	en
dc.identifier.volume	41	en
dc.identifier.issue	4	en
dc.identifier.spage	391	en
dc.identifier.epage	402	en