Quasi-parabolic Kazhdan-Lusztig bases and reflection subgroups
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866911965833592832 |
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| author | Carlini, Zachary Shen, Yaolong |
| author_facet | Carlini, Zachary Shen, Yaolong |
| contents | Recently, Wang and the second author constructed a bar involution and canonical basis for a quasi-permutation module of the Hecke algebra associated to a type B Weyl group $W$, where the basis is parameterized by left cosets of a quasi-parabolic reflection subgroup in $W$. In this paper we provide an alternative approach to these constructions, and then generalize to Coxeter groups which contain a product of type B Weyl groups as a parabolic subgroup. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_12290 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quasi-parabolic Kazhdan-Lusztig bases and reflection subgroups Carlini, Zachary Shen, Yaolong Representation Theory Recently, Wang and the second author constructed a bar involution and canonical basis for a quasi-permutation module of the Hecke algebra associated to a type B Weyl group $W$, where the basis is parameterized by left cosets of a quasi-parabolic reflection subgroup in $W$. In this paper we provide an alternative approach to these constructions, and then generalize to Coxeter groups which contain a product of type B Weyl groups as a parabolic subgroup. |
| title | Quasi-parabolic Kazhdan-Lusztig bases and reflection subgroups |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2305.12290 |