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 groups

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]

Linked publications - datasets - softwares

Source : ScholeXplorer IsRelatedTo ARXIV 1111.2652
Source : ScholeXplorer IsRelatedTo DOI 10.1093/imrn/rnv101
Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1111.2652
  • 10.1093/imrn/rnv101
  • 10.1093/imrn/rnv101
  • 10.48550/arxiv.1111.2652
  • 1111.2652
Combinatorial Frameworks for Cluster Algebras

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