Unital versions of the higher order peak algebras

We construct unital extensions of the higher order peak algebras defined by Krob and the third author in [Ann. Comb. 9 (2005), 411―430], and show that they can be obtained as homomorphic images of certain subalgebras of the Mantaci-Reutenauer algebras of type $B$. This generalizes a result of Berger...

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Bibliographic Details
Published in:Discrete Mathematics & Theoretical Computer Science
Main Authors: Marcelo Aguiar, Jean-Christophe Novelli, Jean-Yves Thibon
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2009-01-01
Subjects:
descent algebras
noncommutative symmetric functions
peak algebras
[math.math-co] mathematics [math]/combinatorics [math.co]
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
Online Access:https://dmtcs.episciences.org/2729/pdf
Description
Summary:We construct unital extensions of the higher order peak algebras defined by Krob and the third author in [Ann. Comb. 9 (2005), 411―430], and show that they can be obtained as homomorphic images of certain subalgebras of the Mantaci-Reutenauer algebras of type $B$. This generalizes a result of Bergeron, Nyman and the first author [Trans. AMS 356 (2004), 2781―2824].
ISSN:1365-8050

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