The number of simple modules for the Hecke algebras of type G(r,p,n) (with an appendix by Xiaoyi Cui)

Details The number of simple modules for the Hecke algebras of type G(r,p,n) (with an appendix by Xiaoyi Cui) The number of simple modules for the Hecke algebras of type G(r,p,n) (with an appendix by Xiaoyi Cui)

2006-01-24

arxiv.org/abs/math/0601572v2

Mathematics

Representation Theory

An appendix by Xiaoyi Cui was included. Some typos were corrected

Scientific paper

We derive a parameterization of simple modules for the cyclotomic Hecke
algebras of type $G(r,p,n)$ over field of any (coprime to $p$) characteristic.
We give explicit formulas for the number of simple modules over these
cyclotomic Hecke algebras.

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