Omni-Lie Color Algebras and Lie Color 2-Algebras

Abstract

The notions of Lie color 2-algebras and 2-term color L-infty-algebras over a group-graded vector space are introduced and studied. It is proved that the category of Lie color 2-algebras and the category of 2-term color L1-algebras are equivalent. We construct Lie color 2-algebras from omni-Lie color algebras and Leibniz color algebras. Some example of $Z_2^2$ -graded Lie color 2-algebras are given.

This version was written in October 2013, 25pages,no figures

References in corpus (2)

• Higher Trace and Berezinian of Matrices over a Clifford Algebra
• Omni-Lie 2-algebras and their Dirac structures