Invariants in non-commutative variables of the symmetric and hyperoctahedral groups

Anouk Bergeron-Brlek

Invariants in non-commutative variables of the symmetric and hyperoctahedral groups

Anouk Bergeron-Brlek

York University Toronto

Résultats de recherche: Contribution à une conférence › Compte-rendu de conférence › Revue par des pairs

2 Citations (Scopus)

Résumé

We consider the graded Hopf algebra NCSym of symmetric functions with non-commutative variables, which is analogous to the algebra Sym of the ordinary symmetric functions in commutative variables. We give formulaes for the product and coproduct on some of the analogues of the Sym bases and expressions for a shuffle product on NCSym. We also consider the invariants of the hyperoctahedral group in the non-commutative case and a state a few results.

langue originale	Anglais
Pages	653-664
Nombre de pages	12
état	Publié - 2008
Modification externe	Oui
Evénement	20th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'08 - Valparaiso, Chili Durée: 23 juin 2008 → 27 juin 2008

Conférence

Conférence	20th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'08
Pays/Territoire	Chili
La ville	Valparaiso
période	23/06/08 → 27/06/08

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Contient cette citation

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abstract = "We consider the graded Hopf algebra NCSym of symmetric functions with non-commutative variables, which is analogous to the algebra Sym of the ordinary symmetric functions in commutative variables. We give formulaes for the product and coproduct on some of the analogues of the Sym bases and expressions for a shuffle product on NCSym. We also consider the invariants of the hyperoctahedral group in the non-commutative case and a state a few results.",

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AU - Bergeron-Brlek, Anouk

PY - 2008

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N2 - We consider the graded Hopf algebra NCSym of symmetric functions with non-commutative variables, which is analogous to the algebra Sym of the ordinary symmetric functions in commutative variables. We give formulaes for the product and coproduct on some of the analogues of the Sym bases and expressions for a shuffle product on NCSym. We also consider the invariants of the hyperoctahedral group in the non-commutative case and a state a few results.

AB - We consider the graded Hopf algebra NCSym of symmetric functions with non-commutative variables, which is analogous to the algebra Sym of the ordinary symmetric functions in commutative variables. We give formulaes for the product and coproduct on some of the analogues of the Sym bases and expressions for a shuffle product on NCSym. We also consider the invariants of the hyperoctahedral group in the non-commutative case and a state a few results.

KW - Hopf algebra

KW - Invariants

KW - Non-commutative variables

KW - Symmetric function

UR - https://www.scopus.com/pages/publications/84860472745

M3 - Conference Paper

AN - SCOPUS:84860472745

SP - 653

EP - 664

T2 - 20th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'08

Y2 - 23 June 2008 through 27 June 2008

ER -