Around solomon’s descent algebras
View/ Open
Full Text
Date
2008-06-11Author
Bonnafé, C.
Pfeiffer, G.
Metadata
Show full item recordUsage
This item's downloads: 0 (view details)
Cited 8 times in Scopus (view citations)
Recommended Citation
Bonnafé, C. Pfeiffer, G. (2008). Around solomon’s descent algebras. Algebras and Representation Theory 11 (6), 577-602
Published Version
Abstract
We study different problems related to the Solomon's descent algebra Sigma(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 Sigma(W) is equal to s/2.