Groups of extended affine Lie type
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2019
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| _version_ | 1866929296480665600 |
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| author | Azam, Saeid Parsa, Amir Farahmand |
| author_facet | Azam, Saeid Parsa, Amir Farahmand |
| contents | We construct certain Steinberg groups associated to extended affine Lie algebras and their root systems. Then by the integration methods of Kac and Peterson for integrable Lie algebras, we associate a group to every tame extended affine Lie algebra. Afterwards, we show that the extended affine Weyl group of the ground Lie algebra can be recovered as a quotient group of two subgroups of the group associated to the underlying algebra similar to Kac-Moody groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1908_07809 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Groups of extended affine Lie type Azam, Saeid Parsa, Amir Farahmand Quantum Algebra 17B67, 17B65, 19C99, 20G44, 22E65 We construct certain Steinberg groups associated to extended affine Lie algebras and their root systems. Then by the integration methods of Kac and Peterson for integrable Lie algebras, we associate a group to every tame extended affine Lie algebra. Afterwards, we show that the extended affine Weyl group of the ground Lie algebra can be recovered as a quotient group of two subgroups of the group associated to the underlying algebra similar to Kac-Moody groups. |
| title | Groups of extended affine Lie type |
| topic | Quantum Algebra 17B67, 17B65, 19C99, 20G44, 22E65 |
| url | https://arxiv.org/abs/1908.07809 |