Representation theory of the higher order peak algebras

Details Representation theory of the higher order peak algebras Representation theory of the higher order peak algebras

2009-06-29

arxiv.org/abs/0906.5236v1

Mathematics

Combinatorics

30 pages

Scientific paper

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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