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