Soergel bimodules and Kazhdan-Lusztig polynomials
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arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917885339762688 |
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| author | Wynner, Ethan Eugene |
| author_facet | Wynner, Ethan Eugene |
| contents | This paper presents a brief exposition of Soergel bimodules with applications to some topics in Kazhdan-Lusztig theory. We ultimately exposit a few of Soergel's main results, which allowed him to give alternative proofs, using his theory, of the Kazhdan-Lusztig conjectures. This paper should be viewed as a (very) condensed outline following the work of Elias, Makisumi, Thiel, and Williamson in their lovely book Introduction to Soergel Bimodules, and is meant for a reader wishing to survey a quite vast subject. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03424 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Soergel bimodules and Kazhdan-Lusztig polynomials Wynner, Ethan Eugene Representation Theory This paper presents a brief exposition of Soergel bimodules with applications to some topics in Kazhdan-Lusztig theory. We ultimately exposit a few of Soergel's main results, which allowed him to give alternative proofs, using his theory, of the Kazhdan-Lusztig conjectures. This paper should be viewed as a (very) condensed outline following the work of Elias, Makisumi, Thiel, and Williamson in their lovely book Introduction to Soergel Bimodules, and is meant for a reader wishing to survey a quite vast subject. |
| title | Soergel bimodules and Kazhdan-Lusztig polynomials |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2501.03424 |