Publication

Around solomon’s descent algebras

Bonnafé, C.
; 
Pfeiffer, G.
Identifiers
http://hdl.handle.net/10379/10478
 https://doi.org/10.13025/28725
Publication Date
2008-06-11
Keywords
solomon's descent algebras, finite coxeter group, loewy length, primary 20f55, secondary 05e99, hyperoctahedral groups, coxeter group
Type
Article
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Citation
Bonnafé, C. Pfeiffer, G. (2008). Around solomon’s descent algebras. Algebras and Representation Theory 11 (6), 577-602
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.
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Publisher
Springer Nature
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)