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...