Irreducible L-modules of Modular Lie algebras
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914133439414272 |
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| author | Park, Eun H. |
| author_facet | Park, Eun H. |
| contents | The main objective of this project is to determine all irreducible modules of a given modular Lie algebra. In contrast to ordinary Lie algebras, modular Lie algebras require an additional structure known as the p-mapping. The minimal p-envelope of a modular Lie algebra is restrictable, and there exists a one-to-one correspondence between the induced modules and certain original modules. By exploiting the properties of induced modules, this project aims to decompose a modular Lie algebra L into irreducible L- modules. Several examples will be presented to demonstrate how such decompositions can be achieved for specific modular Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01931 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Irreducible L-modules of Modular Lie algebras Park, Eun H. Rings and Algebras Representation Theory 17B50, 17B10, 16S30 The main objective of this project is to determine all irreducible modules of a given modular Lie algebra. In contrast to ordinary Lie algebras, modular Lie algebras require an additional structure known as the p-mapping. The minimal p-envelope of a modular Lie algebra is restrictable, and there exists a one-to-one correspondence between the induced modules and certain original modules. By exploiting the properties of induced modules, this project aims to decompose a modular Lie algebra L into irreducible L- modules. Several examples will be presented to demonstrate how such decompositions can be achieved for specific modular Lie algebras. |
| title | Irreducible L-modules of Modular Lie algebras |
| topic | Rings and Algebras Representation Theory 17B50, 17B10, 16S30 |
| url | https://arxiv.org/abs/2511.01931 |