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arXiv · 2403.19662

Automorphisms of Multiplicative Lie algebra Extensions

Dev Karan Singh·Shiv Datt Kumar
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Abstract

In this paper, we discuss the inducibility problem for automorphisms of multiplicative Lie algebra extensions and show that obstruction to the inducibility of pairs lies in the second cohomology group of multiplicative Lie algebras. We also establish the Wells type exact sequence for multiplicative Lie algebras, which relates automorphism groups with the second cohomology group of multiplicative Lie algebras.

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Dev Karan Singh, Shiv Datt Kumar. 2024-02-01. Automorphisms of Multiplicative Lie algebra Extensions. https://arxiv.org/abs/2403.19662

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