Canonical bases of tensor products of integrable highest weight modules arising from framed constructions
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914222523285504 |
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| author | Fang, Jiepeng Lan, Yixin |
| author_facet | Fang, Jiepeng Lan, Yixin |
| contents | Given a quantum group, we prove that the canonical bases of the tensor products of its integrable highest weight modules can be obtained from the canonical bases of the integrable highest weight modules of a bigger quantum group. As a result, based on the positivity of the canonical bases of the integrable highest weight modules due to Lusztig, we prove that the canonical bases of the tensor products have the positivity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14199 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Canonical bases of tensor products of integrable highest weight modules arising from framed constructions Fang, Jiepeng Lan, Yixin Quantum Algebra Representation Theory 17B37 Given a quantum group, we prove that the canonical bases of the tensor products of its integrable highest weight modules can be obtained from the canonical bases of the integrable highest weight modules of a bigger quantum group. As a result, based on the positivity of the canonical bases of the integrable highest weight modules due to Lusztig, we prove that the canonical bases of the tensor products have the positivity. |
| title | Canonical bases of tensor products of integrable highest weight modules arising from framed constructions |
| topic | Quantum Algebra Representation Theory 17B37 |
| url | https://arxiv.org/abs/2504.14199 |