Non symmetric quantum loop groups and K-theory
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866911064673746944 |
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| author | Varagnolo, Michela Vasserot, Eric |
| author_facet | Varagnolo, Michela Vasserot, Eric |
| contents | We realize the quantum loop groups and shifted quantum loop groups of arbitrary types, possibly non symmetric, using critical K-theory. This generalizes the Nakajima construction of symmetric quantum loop groups via quiver varieties to non symmetric types. We also give a new geometric construction of some simple modules of both quantum loop groups and shifted quantum loop groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_01809 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non symmetric quantum loop groups and K-theory Varagnolo, Michela Vasserot, Eric Representation Theory We realize the quantum loop groups and shifted quantum loop groups of arbitrary types, possibly non symmetric, using critical K-theory. This generalizes the Nakajima construction of symmetric quantum loop groups via quiver varieties to non symmetric types. We also give a new geometric construction of some simple modules of both quantum loop groups and shifted quantum loop groups. |
| title | Non symmetric quantum loop groups and K-theory |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2308.01809 |