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Families of the characters of the cyclotomic Hecke algebras of G(de,e,r) by SungSoon Kim is a Mathematics article available to read on EtoBox.
What is Families of the characters of the cyclotomic Hecke algebras of G(de,e,r) about?
Motivated by the work of Lusztig on the families of Irr(W ) for the Weyl group W of any type, especially for the types B r and D r , we described in the article [M. Broué and S. Kim, Familles de caractères des algèbres de Hecke cyclotomiques, Adv. Math. 172 (2002) the families of the characters of G(e, 1, r) and G(e, e, r), which are the blocks of the cyclotomic Hecke algebras over an appropriate ring called "Rouquier ring." The results coincide with the results of Lusztig on the Weyl groups of types B r and D r when specializing the parameters of the Hecke algebras. In this paper, generalizing this work to the whole series of G(de, e, r) which is a normal subgroup of G(de, 1, r) of index e, we extend the results of Broué and Kim, op. cit.
Who reads Families of the characters of the cyclotomic Hecke algebras of G(de,e,r)?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- SungSoon Kim
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0021-8693)
- Published
- 2005
- Language
- EN
- Field
- Mathematics (Physical Sciences)