Non-trivial Kazhdan-Lusztig coefficients of affine Weyl groups
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arXiv
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866908522787110912 |
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| author | Chen, Pan |
| author_facet | Chen, Pan |
| contents | In this paper we show that the leading coefficient $μ(y,w)$ of some Kazhdan-Lusztig polynomials $P_{y,w}$ with $y,w$ in an affine Weyl group of type $\tilde B_n$ (resp. $\tilde C_n$ or $\tilde D_n$) is $n$ (resp. $n+1$). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1804_02353 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Non-trivial Kazhdan-Lusztig coefficients of affine Weyl groups Chen, Pan Representation Theory In this paper we show that the leading coefficient $μ(y,w)$ of some Kazhdan-Lusztig polynomials $P_{y,w}$ with $y,w$ in an affine Weyl group of type $\tilde B_n$ (resp. $\tilde C_n$ or $\tilde D_n$) is $n$ (resp. $n+1$). |
| title | Non-trivial Kazhdan-Lusztig coefficients of affine Weyl groups |
| topic | Representation Theory |
| url | https://arxiv.org/abs/1804.02353 |