C. Bonnafé and G. Pfeiffer,
Around Solomon's descent algebras.
Algebr. Represent. Theory (2008), 26 pages.
Abstract. We study different problems related to Solomon's
descent algebra of a finite Coxeter group
: positive elements, morphisms between descent
algebras, Loewy length... One of the main result is that, if
is irreducible and if the longest element is central,
then the Loewy length of is equal to
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