Generalized Descent Algebras

• Autores: Christophe Hohlweg
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 50, Nº 4, 2007, págs. 535-546
• Idioma: inglés
• DOI: 10.4153/cmb-2007-052-4
• Texto completo no disponible (Saber más ...)
• Resumen

  • If A is a subset of the set of reflections of a finite Coxeter group W, we define a sub-mathbb Z-module cal DA(W) of the group algebra {mathbb Z} W. We discuss cases where this submodule is a subalgebra. This family of subalgebras includes strictly the Solomon descent algebra, the group algebra and, if W is of type B, the Mantaci¿Reutenauer algebra