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- W4287635504 abstract "Let $(W,S)$ be a Coxeter system of finite rank and let $J,Ksubset S$. We study the rationality of the Poincar'e series of the set of representatives of minimal length of $(W_J,W_K)$-double cosets of $W$: we conclude that it depends mostly on the rationality of the Poincar'e series of the normalizers of finite parabolic subgroups of $W$. For affine Weyl groups, we prove that all these series are rational and we give some explicit examples." @default.
- W4287635504 created "2022-07-25" @default.
- W4287635504 creator A5082745821 @default.
- W4287635504 date "2020-10-21" @default.
- W4287635504 modified "2023-09-30" @default.
- W4287635504 title "Poincar'e series of double coset representatives of Coxeter groups" @default.
- W4287635504 doi "https://doi.org/10.48550/arxiv.2010.10796" @default.
- W4287635504 hasPublicationYear "2020" @default.
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