Simple Modules For Twisted Hamiltonian Extended Affine Lie Algebras
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866907890767364096 |
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| author | Tantubay, Santanu Chakraborty, Priyanshu Batra, Punita |
| author_facet | Tantubay, Santanu Chakraborty, Priyanshu Batra, Punita |
| contents | In this paper, we consider the twisted Hamiltonian extended affine Lie algebra (THEALA). We classify the irreducible integrable modules for these Lie algebras with finite-dimensional weight spaces when the finite-dimensional center acts non-trivially. This Lie algebra has a triangular decomposition, which is different from the natural triangular decomposition of twisted full toroidal Lie algebra. Any irreducible integrable module of it is the highest weight module with respect to the given triangular decomposition. In this paper, we describe the highest-weight space in detail. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_07749 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Simple Modules For Twisted Hamiltonian Extended Affine Lie Algebras Tantubay, Santanu Chakraborty, Priyanshu Batra, Punita Representation Theory 17b65, 17b67 In this paper, we consider the twisted Hamiltonian extended affine Lie algebra (THEALA). We classify the irreducible integrable modules for these Lie algebras with finite-dimensional weight spaces when the finite-dimensional center acts non-trivially. This Lie algebra has a triangular decomposition, which is different from the natural triangular decomposition of twisted full toroidal Lie algebra. Any irreducible integrable module of it is the highest weight module with respect to the given triangular decomposition. In this paper, we describe the highest-weight space in detail. |
| title | Simple Modules For Twisted Hamiltonian Extended Affine Lie Algebras |
| topic | Representation Theory 17b65, 17b67 |
| url | https://arxiv.org/abs/2304.07749 |