On the Left Cell Representations of Iwahori{hecke Algebras of Nite Coxeter Groups

2 Hecke Algebras with Unequal Parameters

These notes are an expanded version of the Aisenstadt lectures given at the CRM, Université de Montréal, in May/June 2002; they also include material from lectures given at MIT during the Fall of 1999 [L12]. I wish to thank Jacques Hurtubise for inviting me to give the Aisenstadt lectures. Hecke algebras arise as endomorphism algebras of representations of groups induced by representations of s...

`good' Elements of Finite Coxeter Groups and Representations of Iwahori{hecke Algebras

Iwahori - Hecke type algebras associated with the Lie superalgebras A ( m , n ) , B ( m , n ) , C ( n ) and D ( m , n ) Hiroyuki Yamane

In this paper we give Iwahori-Hecke type algebras Hq(g) associated with the Lie superalgebras g = A(m,n), B(m,n), C(n) and D(m,n). We classify the irreducible representations of Hq(g) for generic q. Introduction Recently, motivated by a question posed by V. Serganova [S] and study of the Weyl groupoids [H1][H2] associated with Nichols algebras [AS1][AS2] including generalizations of quantum gro...

Characters of Iwahori - Hecke Algebras

Iwahori-Hecke algebras for the innnite series of complex reeection groups G(r; p; n) were constructed recently in the work of Ariki and Koike, Brou e and Malle, and Ariki. In this paper we give Murnaghan-Nakayama type formulas for computing the irreducible characters of these algebras. Our method is a generalization of that in our earlier paper in which we derived Murnaghan-Nakayama rules for t...

Explicit irreducible representations of the Iwahori – Hecke algebra of Type F

A general method for computing irreducible representations of Weyl groups and Iwahori–Hecke algebras was introduced by the first author in [10]. In that paper the representations of the algebras of typesAn,Bn,Dn andG2 were computed and it is the purpose of this paper to extend these computations to F4. The main goal here is to compute irreducible representations of the Iwahori–Hecke algebra of ...