LLT Polynomials and Hecke Algebra Traces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913402645905408 |
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| author | Morales, Alejandro H. Skandera, Mark A. Wang, Jiayuan |
| author_facet | Morales, Alejandro H. Skandera, Mark A. Wang, Jiayuan |
| contents | We show that coefficients in unicellular LLT polynomials are evaluations of Hecke algebra traces at Kazhdan-Lusztig basis elements. We express these in terms of traditional trace bases, induction, and Kazhdan-Lusztig R-polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16414 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | LLT Polynomials and Hecke Algebra Traces Morales, Alejandro H. Skandera, Mark A. Wang, Jiayuan Combinatorics We show that coefficients in unicellular LLT polynomials are evaluations of Hecke algebra traces at Kazhdan-Lusztig basis elements. We express these in terms of traditional trace bases, induction, and Kazhdan-Lusztig R-polynomials. |
| title | LLT Polynomials and Hecke Algebra Traces |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2406.16414 |