Representation theory of the higher order peak algebras
Combinatorics
2013-02-12 v1 Representation Theory
Abstract
The representation theory (idempotents, quivers, Cartan invariants and Loewy series) of the higher order unital peak algebras is investigated. On the way, we obtain new interpretations and generating functions for the idempotents of descent algebras introduced in [F. Saliola, J. Algebra 320 (2008) 3866.]
Keywords
Cite
@article{arxiv.0906.5236,
title = {Representation theory of the higher order peak algebras},
author = {Jean-Christophe Novelli and Franco Saliola and Jean-Yves Thibon},
journal= {arXiv preprint arXiv:0906.5236},
year = {2013}
}
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30 pages