Tensor square and isoclinic extensions of multiplicative Lie algebras

2024/06/04 by Dev Karan Singh, Singh, Dev Karan, Amit Kumar +5 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2406.02246

openalex publication_date 2024/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we discuss the capable and isoclinic properties of the tensor square in the context of multiplicative Lie algebras. We also developed the concept of isoclinic extensions and proved several results for multiplicative Lie algebras. Consequently, we demonstrate that covers of a multiplicative Lie algebra are mutually isoclinic.

Cited by

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

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• Isoclinism in multiplicative Lie algebras
• Relative Lie central extension and Schur multiplier of pairs of multiplicative Lie algebras
• Theory of Extensions of Multiplicative Lie Algebras
• On Lie-isoclinic Leibniz algebras
• Excision and idealization of a multiplicative Lie algebra