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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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Autori principali: Marcelo Aguiar, Jean-Christophe Novelli, Jean-Yves Thibon
Natura: Artigo
Lingua:Inglês
Pubblicazione: Discrete Mathematics & Theoretical Computer Science 2009-01-01
Serie:Discrete Mathematics & Theoretical Computer Science
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Accesso online:https://dmtcs.episciences.org/2729/pdf
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