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

Jun Hu

doi:10.1016/j.jalgebra.2008.01.008

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

Jun Hu^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We derive a parameterization of simple modules for the cyclotomic Hecke algebras of type G (r, p, n) with p > 1 and n ≥ 3 over fields of any characteristic coprime to p. We give explicit formulas for the number of simple modules over these cyclotomic Hecke algebras.

Original language	English
Pages (from-to)	3375-3396
Number of pages	22
Journal	Journal of Algebra
Volume	321
Issue number	11
DOIs	https://doi.org/10.1016/j.jalgebra.2008.01.008
Publication status	Published - 1 Jun 2009

Keywords

Crystal base
Cyclotomic Hecke algebra
FLOTW r-multipartitions
Fock space
Kleshchev r-multipartition

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10.1016/j.jalgebra.2008.01.008

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AB - We derive a parameterization of simple modules for the cyclotomic Hecke algebras of type G (r, p, n) with p > 1 and n ≥ 3 over fields of any characteristic coprime to p. We give explicit formulas for the number of simple modules over these cyclotomic Hecke algebras.

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KW - Cyclotomic Hecke algebra

KW - FLOTW r-multipartitions

KW - Fock space

KW - Kleshchev r-multipartition

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ER -

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

Abstract

Keywords

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