Extending the weak order on Coxeter groups

Francois Viard

doi:10.46298/dmtcs.6409

Francois Viard - Extending the weak order on Coxeter groups

dmtcs:6409 - Discrete Mathematics & Theoretical Computer Science, April 22, 2020, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) - https://doi.org/10.46298/dmtcs.6409

Extending the weak order on Coxeter groupsArticle

Authors: Francois Viard ^1,²

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.

https://doi.org/10.46298/dmtcs.6409

Source: HAL:hal-02166056v1

Volume: DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)

Published on: April 22, 2020

Imported on: July 4, 2016

Keywords: Combinatorics,[MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]

Francois Viard - Extending the weak order on Coxeter groups

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