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math.RA2013
Omni-Lie Color Algebras and Lie Color 2-Algebras
Tao Zhang
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-alg…
math.RA2013
Omni-Lie Superalgebras and Lie 2-superalgebras
Tao Zhang, Zhangju Liu
We introduce the notion of omni-Lie superalgebra as a super version of the omni-Lie algebra introduced by Weinstein. This algebraic structure gives a nontrivial example of Leibniz…