Mathematics – Combinatorics
Scientific paper
2008-10-25
Mathematics
Combinatorics
13 pages, Latex
Scientific paper
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.].
Aguiar Marcelo
Novelli Jean-Christophe
Thibon Jean-Yves
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