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arXiv · 2511.19012

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

Dev Karan Singh·Shiv Datt Kumar
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Abstract

In this paper, we introduce the concept of relative Lie central extension for pair of multiplicative Lie algebras. Then, we discuss the concept of isoclinism for relative Lie central extensions and prove some related results. We also define the Frattini subalgebra for multiplicative Lie algebras and discuss its properties, finally the Schur multiplier for pair of multiplicative Lie algebras is introduced and under certain conditions prove the existence of multiplicative covering pair.

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Dev Karan Singh, Shiv Datt Kumar. 2025-11-24. Relative Lie central extension and Schur multiplier of pairs of multiplicative Lie algebras. https://arxiv.org/abs/2511.19012

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