Unital versions of the higher order peak algebras
Combinatorics
2008-10-28 v1
Abstract
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.].
Keywords
Cite
@article{arxiv.0810.4634,
title = {Unital versions of the higher order peak algebras},
author = {Marcelo Aguiar and Jean-Christophe Novelli and Jean-Yves Thibon},
journal= {arXiv preprint arXiv:0810.4634},
year = {2008}
}
Comments
13 pages, Latex