Categorification of integrable representations of quantum groups
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2008
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| _version_ | 1866913418674438144 |
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| author | Zheng, Hao |
| author_facet | Zheng, Hao |
| contents | We categorify the highest weight integrable representations and their tensor products of a symmetric quantum Kac-Moody algebra. As byproducts, we obtain a geometric realization of Lusztig's canonical bases of these representations as well as a new positivity result. The main ingredient in the underlying geometric construction is a class of micro-local perverse sheaves on quiver varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0803_3668 |
| institution | arXiv |
| publishDate | 2008 |
| record_format | arxiv |
| spellingShingle | Categorification of integrable representations of quantum groups Zheng, Hao Representation Theory Quantum Algebra 17B37, 18F20 We categorify the highest weight integrable representations and their tensor products of a symmetric quantum Kac-Moody algebra. As byproducts, we obtain a geometric realization of Lusztig's canonical bases of these representations as well as a new positivity result. The main ingredient in the underlying geometric construction is a class of micro-local perverse sheaves on quiver varieties. |
| title | Categorification of integrable representations of quantum groups |
| topic | Representation Theory Quantum Algebra 17B37, 18F20 |
| url | https://arxiv.org/abs/0803.3668 |