[Prev]  [Up]  [Next]

C. Bonnafé and G. Pfeiffer,

Around Solomon's descent algebras.

Algebr. Represent. Theory (2008), 26 pages. DOI 10.1007/s10468-008-9090-9. Preprint IRL-GLWY-2006-001. arXiv:math.RT/0601317.


We study different problems related to Solomon's descent algebra Σ(W) of a finite Coxeter group (W,S): positive elements, morphisms between descent algebras, Loewy length... One of the main result is that, if W is irreducible and if the longest element is central, then the Loewy length of Σ(W) is equal to [(|S|+1)/2].

Available as DVI file (107 kB), as pdf file (312 kB) and as compressed PostScript (242 kB) file.

[Prev]  [Up]  [Next]