Around Solomon's descent algebras

C. Bonnafé; G. Pfeiffer

doi:10.1007/s10468-008-9090-9

Around Solomon's descent algebras

C. Bonnafé
, G. Pfeiffer

Mathematics

Université de Franche-Comté

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

13 Citations (Scopus)

Abstract

We study different problems related to the Solomon's descent algebra ∑(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 ∑(W) is equal to ⌈|S| 2 ⌉.

Original language	English
Pages (from-to)	577-602
Number of pages	26
Journal	Algebras and Representation Theory
Volume	11
Issue number	6
DOIs	https://doi.org/10.1007/s10468-008-9090-9
Publication status	Published - Dec 2008

Keywords

Finite Coxeter group
Loewy length
Solomon's descent algebras

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10.1007/s10468-008-9090-9

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title = "Around Solomon's descent algebras",

abstract = "We study different problems related to the Solomon's descent algebra ∑(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 ∑(W) is equal to ⌈|S| 2 ⌉.",

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AU - Bonnafé, C.

AU - Pfeiffer, G.

PY - 2008/12

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AB - We study different problems related to the Solomon's descent algebra ∑(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 ∑(W) is equal to ⌈|S| 2 ⌉.

KW - Finite Coxeter group

KW - Loewy length

KW - Solomon's descent algebras

UR - https://www.scopus.com/pages/publications/55549099577

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DO - 10.1007/s10468-008-9090-9

M3 - Article

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VL - 11

SP - 577

EP - 602

JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

IS - 6

ER -

Around Solomon's descent algebras

Abstract

Keywords

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