Extensions of pseudo-euclidean mock-Lie superalgebras
Rings and Algebras
2025-10-16 v1 Representation Theory
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.
Cite
@article{arxiv.2510.12805,
title = {Extensions of pseudo-euclidean mock-Lie superalgebras},
author = {Tahar Benyoussef and Sami Mabrouk},
journal= {arXiv preprint arXiv:2510.12805},
year = {2025}
}