Braid symmetries on bosonic extensions
Fuente:
arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866910565145772032 |
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| author | Kashiwara, Masaki Kim, Myungho Oh, Se-jin Park, Euiyong |
| author_facet | Kashiwara, Masaki Kim, Myungho Oh, Se-jin Park, Euiyong |
| contents | We introduce a family of automorphisms on the bosonic extension of arbitrary type and show that they satisfy the braid relations. They preserve the global basis and the crystal basis. Using this braid group action, we define a subalgebra for each positive braid word, which possesses the PBW type basis. As an application, we show that the tensor product decomposition of the positive bosonic extionsion, |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07312 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Braid symmetries on bosonic extensions Kashiwara, Masaki Kim, Myungho Oh, Se-jin Park, Euiyong Representation Theory Quantum Algebra 05E10, 05E18, 17B37 We introduce a family of automorphisms on the bosonic extension of arbitrary type and show that they satisfy the braid relations. They preserve the global basis and the crystal basis. Using this braid group action, we define a subalgebra for each positive braid word, which possesses the PBW type basis. As an application, we show that the tensor product decomposition of the positive bosonic extionsion, |
| title | Braid symmetries on bosonic extensions |
| topic | Representation Theory Quantum Algebra 05E10, 05E18, 17B37 |
| url | https://arxiv.org/abs/2408.07312 |