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arXiv · 2609.07359

Representation and Extending structure of a Multiplicative Lie algebra

Neeraj Kumar Maurya·Sumit Kumar Upadhyay
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Abstract

In this paper, we attempt to develop a general notion of representation theory for multiplicative Lie algebras. Consequently, we study equivalent, irreducible, and completely reducible representations. We also introduce the notion of the action of a multiplicative Lie algebra on a vector space and show that there is a one-to-one correspondence between the action and the representation. We also studied the extended structure of a multiplicative Lie algebra through a group.

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Neeraj Kumar Maurya, Sumit Kumar Upadhyay. 2026-09-07. Representation and Extending structure of a Multiplicative Lie algebra. https://arxiv.org/abs/2609.07359

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