Peer-Reviewed Journal Details
Mandatory Fields
Authors
Bonnafe, C,Pfeiffer, G
Year
2008
Month
December
Journal
Algebras And Representation Theory
Title
Around Solomon's Descent Algebras
Status
Published
Times Cited
()
Optional Fields
Search Keyword
Solomon's descent algebras Finite Coxeter group Loewy length Primary 20F55 Secondary 05E99 HYPEROCTAHEDRAL GROUPS COXETER GROUP
Volume
11
Issue
Start Page
577
End Page
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.
ISBN / ISSN
Edition
URL
DOI Link
DOI 10.1007/s10468-008-9090-9
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