817 citations
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math.RT2007★ 4 cited
The Loewy length of the descent algebra of type D
Franco V. Saliola
The Loewy length of the descent algebra of type D_{2m+1} is shown to be m+2, for m \geq 2, by providing an upper bound that agrees with the lower bound in \cite{BonnafePfeiffer2006…
math.RT2007★ 1 cited
On the quiver of the descent algebra
Franco V. Saliola
We study the quiver of the descent algebra of a finite Coxeter group W. The results include a derivation of the quiver of the descent algebra of types A and B. Our approach is to s…