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Universal central extensions and non-abelian tensor product of hom-Lie–Rinehart algebras

Volume 166 / 2021

Ashis Mandal, Satyendra Kumar Mishra Colloquium Mathematicum 166 (2021), 23-52 MSC: Primary 17A30; Secondary 17B55, 17B61. DOI: 10.4064/cm8287-7-2020 Published online: 4 February 2021

Abstract

In this paper, we study universal central extensions and non-abelian tensor product of hom-Lie–Rinehart algebras. We discuss universal $\alpha $-central extensions, and the lifting of automorphisms and $\alpha $-derivations to central extensions of hom-Lie–Rinehart algebras. We deduce the lifting of automorphisms and $\alpha ^k$-derivations to the central extensions in the particular case of hom-Lie algebras.

Authors

  • Ashis MandalDepartment of Mathematics and Statistics
    Indian Institute of Technology
    Kanpur 208016, India
    e-mail
  • Satyendra Kumar MishraStatistics and Mathematics Unit
    Indian Statistical Institute
    Bangalore 560059, India
    e-mail

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