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Derivation Hom-Lie 2-algebras and non-abelian extensions of Hom-Lie algebras by Song, Lina; Tang, Rong is a scholarly article available to read on EtoBox.

What is Derivation Hom-Lie 2-algebras and non-abelian extensions of Hom-Lie algebras about?

In this paper, we introduce the notion of a derivation of a Hom-Lie algebra and construct the corresponding strict Hom-Lie 2-algebra, which is called the derivation Hom-Lie 2-algebra. As applications, we study non-abelian extensions of Hom-Lie algebras. We show that iso- morphism classes of diagonal non-abelian extensions of a Hom-Lie algebra g by a Hom-Lie algebra h are in one-to-one correspondence with homotopy classes of morphisms from g to the derivation Hom-Lie 2-algebra DER(h).

Author

Song, Lina; Tang, Rong

Published

2016

Language

EN