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arXiv · 2401.07089

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

Deepak Pal·Amit Kumar·Sumit Kumar Upadhyay·Seema Kushwaha
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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 $ \frac{G\otimes H}{I}$ is Lie nilpotent (or Lie solvable), for some ideal $I$ of ${G\otimes H}$.

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Deepak Pal, Amit Kumar, Sumit Kumar Upadhyay, Seema Kushwaha. 2024-01-13. Lie nilpotency and Lie solvability of tensor product of multiplicative Lie algebras. https://arxiv.org/abs/2401.07089

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