Extensions of pseudo-euclidean mock-Lie superalgebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914093534806016 |
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| author | Benyoussef, Tahar Mabrouk, Sami |
| author_facet | Benyoussef, Tahar Mabrouk, Sami |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_12805 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extensions of pseudo-euclidean mock-Lie superalgebras Benyoussef, Tahar Mabrouk, Sami Rings and Algebras Representation Theory 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. |
| title | Extensions of pseudo-euclidean mock-Lie superalgebras |
| topic | Rings and Algebras Representation Theory |
| url | https://arxiv.org/abs/2510.12805 |