Lie nilpotency and Lie solvability of tensor product of multiplicative Lie algebras

2024/01/13 by Deepak Pal, Amit Kumar, Pal, Deepak +5 · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2401.07089

openalex publication_date 2024/01/13 · openalex created_date 2024/01/18 · openalex updated_date 2026/07/28

Abstract

In this article, we discuss Lie nilpotency and Lie solvability of non-abelian tensor product of multiplicative Lie algebras. In particular, for giving information concerning the Lie nilpotency (or Lie solvability) of either multiplicative Lie algebras G or H, the non-abelian tensor product (G⊗ H)/(I) is Lie nilpotent (or Lie solvable), for some ideal I of G⊗ H.

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• Relative Lie central extension and Schur multiplier of pairs of multiplicative Lie algebras

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