Crossed modules for Hom-Lie antialgebras

Abstract

In this paper, we introduced the concept of crossed module for Hom-Lie antialgebras. It is proved that the category of crossed modules for Hom-Lie antialgebras and the category of $Ca{t}^1$-Hom-Lie antialgebras are equivalent to each other. The relationship between the crossed module extension of Hom-Lie antialgebras and the third cohomology group are investigated.

21pages,some English, misprints are corrected

References in corpus (1)

• Hom-algebras and homology

Cited by in corpus (2)

• On Hom-Lie antialgebra
• Universal central extensions of Hom-Lie antialgebras