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- W4385491337 abstract "For an arbitrary Coxeter group element σ and a connected subset J of the Dynkin diagram, the parabolic decomposition σ=σJσJ defines σJ as a consecutive pattern of σ, generalizing the notion of consecutive patterns in permutations. We then define the cc-Wilf-equivalence classes as an extension of the c-Wilf-equivalence classes for permutations, and identify non-trivial families of cc-Wilf-equivalent classes. Furthermore, we study the structure of the consecutive pattern poset in Coxeter groups and prove that its Möbius function is bounded by 2 when the arguments belong to finite Coxeter groups, but can be arbitrarily large otherwise." @default.
- W4385491337 created "2023-08-03" @default.
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- W4385491337 date "2023-11-01" @default.
- W4385491337 modified "2023-10-12" @default.
- W4385491337 title "Consecutive patterns in Coxeter groups" @default.
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- W4385491337 doi "https://doi.org/10.1016/j.jalgebra.2023.07.029" @default.
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