Peer-Reviewed Journal Details
Mandatory Fields
Bonnafe, C,Pfeiffer, G
2008
December
Algebras And Representation Theory
Around Solomon's Descent Algebras
Published
()
Optional Fields
Solomon's descent algebras Finite Coxeter group Loewy length Primary 20F55 Secondary 05E99 HYPEROCTAHEDRAL GROUPS COXETER GROUP
11
577
602
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.
DOI 10.1007/s10468-008-9090-9
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