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- W2023197064 abstract "We consider the symmetric group Sn (regarded as a Coxeter group) and the corresponding Iwahori-Hecke algebra Hq(Sn). In 1975, Starkey introduced the character table of Hq(Sn) and gave an elegant rule for determining that table, in terms of the ordinary character table of Sn. We give a new simple proof of that rule, whose main ingredients are the exterior powers of the reflection representation of Sn and, otherwise, only general properties of Coxeter groups. On considère le groupe symétrique Sn (vu comme groupe de Coxeter) et l’algèbre de Iwahori-Hecke Hq(Sn) correspondante. En 1975, Starkey a introduit la table des caractères de Hq(Sn) et il a donné une règle très élégante pour déterminer cette table, à partir de la table des caractères ordinaires de Sn. Nous donnons ici une nouvelle démonstration simple de cette règle, dont les ingrédients essentiels sont les puissances extérieures de la représentation géométrique de Sn et, au-delà, seulement des propriétés générales des groupes de Coxeter." @default.
- W2023197064 created "2016-06-24" @default.
- W2023197064 creator A5024460807 @default.
- W2023197064 date "1999-09-01" @default.
- W2023197064 modified "2023-09-30" @default.
- W2023197064 title "The character table of the Iwahori-Hecke algebra of the symmetric group: Starkey's rule" @default.
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- W2023197064 doi "https://doi.org/10.1016/s0764-4442(00)88606-1" @default.
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