Combinatorial invariance for Kazhdan-Lusztig $R$-polynomials of elementary intervals
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866917052927705088 |
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| author | Barkley, Grant T. Gaetz, Christian |
| author_facet | Barkley, Grant T. Gaetz, Christian |
| contents | We adapt the hypercube decompositions introduced by Blundell-Buesing-Davies-Veličković-Williamson to prove the Combinatorial Invariance Conjecture for Kazhdan-Lusztig $R$-polynomials in the case of elementary intervals in $S_n$. This significantly generalizes the main previously-known case of the conjecture, that of lower intervals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_15577 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Combinatorial invariance for Kazhdan-Lusztig $R$-polynomials of elementary intervals Barkley, Grant T. Gaetz, Christian Combinatorics Representation Theory We adapt the hypercube decompositions introduced by Blundell-Buesing-Davies-Veličković-Williamson to prove the Combinatorial Invariance Conjecture for Kazhdan-Lusztig $R$-polynomials in the case of elementary intervals in $S_n$. This significantly generalizes the main previously-known case of the conjecture, that of lower intervals. |
| title | Combinatorial invariance for Kazhdan-Lusztig $R$-polynomials of elementary intervals |
| topic | Combinatorics Representation Theory |
| url | https://arxiv.org/abs/2303.15577 |