Invariants in Non-Commutative Variables of the Symmetric and Hyperoctahedral Groups

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 exp...

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Bibliografiske detaljer

Hovedforfatter:	Anouk Bergeron-Brlek
Format:	Artigo
Sprog:	Inglês
Udgivet:	Discrete Mathematics & Theoretical Computer Science 2008-01-01
Serier:	Discrete Mathematics & Theoretical Computer Science
Fag:	invariants symmetric function non-commutative variables hopf algebra [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
Online adgang:	https://dmtcs.episciences.org/3609/pdf
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