Nantel Bergeron ; Cesar Ceballos - A Hopf algebra of subword complexes (Extended abstract)

dmtcs:6359 - 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.6359
A Hopf algebra of subword complexes (Extended abstract)Article

Authors: Nantel Bergeron 1; Cesar Ceballos 2

  • 1 Department of Mathematics and Statistics [Toronto]
  • 2 Faculty of Mathematics [Vienna]

We introduce a Hopf algebra structure of subword complexes, including both finite and infinite types. We present an explicit cancellation free formula for the antipode using acyclic orientations of certain graphs, and show that this Hopf algebra induces a natural non-trivial sub-Hopf algebra on c-clusters in the theory of cluster algebras.

https://doi.org/10.46298/dmtcs.6359
Source: HAL:hal-02173743v1
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: [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
Funding:
    Source : OpenAIRE Graph
  • Funder: Natural Sciences and Engineering Research Council of Canada

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