Extending the weak order on Coxeter groups - Archive ouverte HAL
Conference Papers Discrete Mathematics and Theoretical Computer Science Year : 2020

Extending the weak order on Coxeter groups

Francois Viard
  • Function : Author
  • PersonId : 958768
Institut Camille Jordan
Université Claude Bernard Lyon 1

Abstract

We introduce a new family of complete lattices, arising from a digraph together with a valuation on its vertices and generalizing a previous construction of the author. We then apply this to the study of two long-standing conjectures of Dyer, and we provide a description of the Tamari lattice with this theory.

Keywords

Combinatorics

Domains

Combinatorics [math.CO]
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Submitted on : Wednesday, June 26, 2019-2:15:29 PM

Last modification on : Wednesday, July 3, 2024-9:00:06 AM

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Dates and versions

hal-02166056 , version 1 (26-06-2019)

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Francois Viard. Extending the weak order on Coxeter groups. 28-th International Conference on Formal Power Series and Algebraic Combinatorics, Simon Fraser University, Jul 2016, Vancouver, Canada. ⟨10.46298/dmtcs.6409⟩. ⟨hal-02166056⟩

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