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Discrete Mathematics & Theoretical Computer Science
Article . 2020 . Peer-reviewed
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Discrete Mathematics & Theoretical Computer Science
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Discrete Mathematics & Theoretical Computer Science
Article . 2020
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https://dx.doi.org/10.46298/dm...
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A Hopf algebra of subword complexes (Extended abstract)

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 22 Apr 2020 English Publisher:Centre pour la Communication Scientifique Directe (CCSD)Journal:Discrete Mathematics & Theoretical Computer Science, volume DMTCS Proceedings, 28th... (eissn: 1365-8050, Copyright policy )Funded by:NSERC | unidentified
Authors: Nantel Bergeron; Cesar Ceballos;

doi: 10.46298/dmtcs.6359

A Hopf algebra of subword complexes (Extended abstract)

Abstract

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.

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Keywords

[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], QA1-939, [math.math-co]mathematics [math]/combinatorics [math.co], Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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Published in a Diamond OA journal