Hopf algebras on decorated noncrossing arc diagrams

Vincent Pilaud

doi:10.1016/j.jcta.2018.09.005

Hopf algebras on decorated noncrossing arc diagrams

Vincent Pilaud

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

Noncrossing arc diagrams are combinatorial models for the equivalence classes of the lattice congruences of the weak order on permutations. In this paper, we provide a general method to endow these objects with Hopf algebra structures. Specific instances of this method produce relevant Hopf algebras that appeared earlier in the literature.

langue originale	Anglais
Pages (de - à)	486-507
Nombre de pages	22
journal	Journal of Combinatorial Theory. Series A
Volume	161
Les DOIs	https://doi.org/10.1016/j.jcta.2018.09.005
état	Publié - 1 janv. 2019

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10.1016/j.jcta.2018.09.005

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@article{c712a05c04d7492092034230611b49fa,

title = "Hopf algebras on decorated noncrossing arc diagrams",

abstract = "Noncrossing arc diagrams are combinatorial models for the equivalence classes of the lattice congruences of the weak order on permutations. In this paper, we provide a general method to endow these objects with Hopf algebra structures. Specific instances of this method produce relevant Hopf algebras that appeared earlier in the literature.",

keywords = "Hopf algebras, Lattice congruences, Non-crossing arc diagrams, Weak order",

author = "Vincent Pilaud",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",

year = "2019",

month = jan,

day = "1",

doi = "10.1016/j.jcta.2018.09.005",

language = "English",

volume = "161",

pages = "486--507",

journal = "Journal of Combinatorial Theory. Series A",

issn = "0097-3165",

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TY - JOUR

T1 - Hopf algebras on decorated noncrossing arc diagrams

AU - Pilaud, Vincent

PY - 2019/1/1

Y1 - 2019/1/1

N2 - Noncrossing arc diagrams are combinatorial models for the equivalence classes of the lattice congruences of the weak order on permutations. In this paper, we provide a general method to endow these objects with Hopf algebra structures. Specific instances of this method produce relevant Hopf algebras that appeared earlier in the literature.

AB - Noncrossing arc diagrams are combinatorial models for the equivalence classes of the lattice congruences of the weak order on permutations. In this paper, we provide a general method to endow these objects with Hopf algebra structures. Specific instances of this method produce relevant Hopf algebras that appeared earlier in the literature.

KW - Hopf algebras

KW - Lattice congruences

KW - Non-crossing arc diagrams

KW - Weak order

UR - https://www.scopus.com/pages/publications/85053776345

U2 - 10.1016/j.jcta.2018.09.005

DO - 10.1016/j.jcta.2018.09.005

M3 - Article

AN - SCOPUS:85053776345

SN - 0097-3165

VL - 161

SP - 486

EP - 507

JO - Journal of Combinatorial Theory. Series A

JF - Journal of Combinatorial Theory. Series A

ER -

Hopf algebras on decorated noncrossing arc diagrams

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