English

$q$-crossed modules and $q$-capability of Lie algebras

Rings and Algebras 2023-06-05 v1 K-Theory and Homology

Abstract

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

Keywords

Cite

@article{arxiv.2306.01380,
  title  = {$q$-crossed modules and $q$-capability of Lie algebras},
  author = {Emzar Khmaladze and Manuel Ladra},
  journal= {arXiv preprint arXiv:2306.01380},
  year   = {2023}
}

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16 pages