Partial categorification of Hopf algebras and representation theory of towers of \mathcalJ-trivial monoids

This paper considers the representation theory of towers of algebras of $\mathcal{J} -trivial$ monoids. Using a very general lemma on induction, we derive a combinatorial description of the algebra and coalgebra structure on the Grothendieck rings $G_0$ and $K_0$. We then apply our theory to some ex...

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Bibliographic Details

Main Author:	Aladin Virmaux
Format:	Artigo
Language:	Inglês
Published:	Discrete Mathematics & Theoretical Computer Science 2014-01-01
Series:	Discrete Mathematics & Theoretical Computer Science
Subjects:	algebraic combinatorics combinatorial representation theory combinatorial hopf algebras lattices categorification [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] [math.math-co] mathematics [math]/combinatorics [math.co]
Online Access:	https://dmtcs.episciences.org/2438/pdf
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