-crossed modules and -capability of Lie algebras
arXiv:2306.01380
Abstract
Given a non-negative integer , we study two different notions of the -capability of Lie algebras via the non-abelian -exterior product of Lie algebras. The first is related to the -crossed modules and inner -derivations, and the second is the Lie algebra version of the -capability of groups proposed by Ellis in 1995.
16 pages