Extensions of pseudo-euclidean mock-Lie superalgebras

Tahar Benyoussef; Sami Mabrouk

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arXiv · 2510.12805

Extensions of pseudo-euclidean mock-Lie superalgebras

Tahar Benyoussef·Sami Mabrouk

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Abstract

In this article, we introduce mock-Lie superalgebras, we give some definitions, properties, constructions, and we study their representations. Moreover we introduce pseudo-euclidean mock-Lie superalgebras which are mock-Lie superalgebras with even non-degenerate supersymmetric and invariant bilinear forms. Finally, we study the double extensions and generalized double extensions of mock-Lie superalgebras and their isometries.

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Tahar Benyoussef, Sami Mabrouk. 2025-10-03. Extensions of pseudo-euclidean mock-Lie superalgebras. https://arxiv.org/abs/2510.12805

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