Notes on Cohomologies of Lie Triple Systems

Preprint

30 January 2014

preprint
Published by arXiv in arXiv

Abstract

The cohomology theory of Lie triple systems in the sense of Yamaguti is studied by means of cohomology of Leibniz algebras in the sense of Loday. The notion of Nijenhuis operators for Lie triple system is introduced to describe trivial deformations. We also study the abelian extensions of Lie triple systems in details.

Keywords

LIE TRIPLE SYSTEMS
COHOMOLOGY THEORY
DESCRIBE TRIVIAL
TRIPLE SYSTEMS
ALGEBRAS
SENSE

All Related Versions

Version 1, 2014-01-30, ArXiv
Version 2, 2014-02-20, ArXiv
Published version: Journal of Luminescence, 24-25, 909.

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