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arXiv · 0906.5236

Representation theory of the higher order peak algebras

Jean-Christophe Novelli·Franco Saliola·Jean-Yves Thibon
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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.]

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Jean-Christophe Novelli, Franco Saliola, Jean-Yves Thibon. 2009-06-29. Representation theory of the higher order peak algebras. https://arxiv.org/abs/0906.5236

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