Soergel bimodules and Kazhdan-Lusztig polynomials
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...
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| Main Author | |
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| Format | Journal Article |
| Language | English |
| Published |
06.01.2025
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| Subjects | |
| Online Access | Get full text |
| DOI | 10.48550/arxiv.2501.03424 |
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| Summary: | 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. |
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| DOI: | 10.48550/arxiv.2501.03424 |