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1. CMB 2007 (vol 50 pp. 535)
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Generalized Descent Algebras If $A$ is a subset of the set of reflections of a finite Coxeter
group $W$, we define a sub-$\ZM$-module $\DC_A(W)$ of the group
algebra $\ZM W$. 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.
Keywords:Coxeter group, Solomon descent algebra, descent set Categories:20F55, 05E15 |