Representation theory of the Mantaci-Reutenauer algebra

Cedric Bonnafé, Université de Franche-Comté

Friday May 19, 11.00-11.45, Groups in Galway 2006

The Mantaci-Reutenauer algebra is a subalgebra of the group algebra of the hyperoctahedral group Wn : it is endowed with a natural morphism to the character ring of Wn. We study the representation theory of this algebra : simples, projectives, Cartan matrix, radical, Loewy length...