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A Homotopy in the Usual Cochain Complex of Free Lie Algebras

Identifieur interne : 001954 ( Main/Exploration ); précédent : 001953; suivant : 001955

A Homotopy in the Usual Cochain Complex of Free Lie Algebras

Auteurs : Alexandros Patsourakos [Grèce]

Source :

RBID : ISTEX:D791FCEE2BDF4F2F65504B3DD1929629C4BFDF55

English descriptors

Abstract

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.

Url:
DOI: 10.1023/A:1007312205995


Affiliations:


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