105 citations · 328 across the 32 of their papers we have counts for
5 papers · 1 filter
Quivers of stylic algebras
Antoine Abram, Christophe Reutenauer, Franco Saliola
We construct a complete system of primitive orthogonal idempotents and give an explicit quiver presentation of the monoid algebra of the stylic monoid introduced by Abram and Reute…
Combinatorial Topology and the Global Dimension of Algebras Arising in Combinatorics
Stuart Margolis, Franco Saliola, Benjamin Steinberg
In a highly influential paper, Bidigare, Hanlon and Rockmore showed that a number of popular Markov chains are random walks on the faces of a hyperplane arrangement. Their analysis…
Primitive orthogonal idempotents for R-trivial monoids
Chris Berg, Nantel Bergeron, Sandeep Bhargava +1
We construct a recursive formula for a complete system of primitive orthogonal idempotents for any -trivial monoid. This uses the newly proved equivalence between the notions of…
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…
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…