Omni-Lie Color Algebras and Lie Color 2-Algebras (1305.0891v2)

Published 4 May 2013 in math.RA and math.QA

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.

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Authors (1)

Tao Zhang

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