Skew Symmetric Extended Affine Lie algebras
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866917271008444416 |
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| author | Rao, S. Eswara Chakraborty, Priyanshu |
| author_facet | Rao, S. Eswara Chakraborty, Priyanshu |
| contents | For any skew symmetric matrix over complex numbers, we introduce an EALA and it is called Skew Symmetric Extended Affine Lie Algebra (SSEALA). This way we get a large class of EALAs and most often they are non-isomorphic. In this paper we study irreducible integrable modules for SSEALA with finite dimensional weight spaces. We classify all such modules in the level zero case with non-degenerate skew symmetric matrix. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2309_14676 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Skew Symmetric Extended Affine Lie algebras Rao, S. Eswara Chakraborty, Priyanshu Representation Theory 2010: 17B67, 17B66 For any skew symmetric matrix over complex numbers, we introduce an EALA and it is called Skew Symmetric Extended Affine Lie Algebra (SSEALA). This way we get a large class of EALAs and most often they are non-isomorphic. In this paper we study irreducible integrable modules for SSEALA with finite dimensional weight spaces. We classify all such modules in the level zero case with non-degenerate skew symmetric matrix. |
| title | Skew Symmetric Extended Affine Lie algebras |
| topic | Representation Theory 2010: 17B67, 17B66 |
| url | https://arxiv.org/abs/2309.14676 |