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

10 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

Access to Document

10.1016/j.jalgebra.2008.01.008

Cite this

@article{fc7e56ae9bea4f35a0c395cacde481b6,

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

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.",

keywords = "Crystal base, Cyclotomic Hecke algebra, FLOTW r-multipartitions, Fock space, Kleshchev r-multipartition",

author = "Jun Hu",

year = "2009",

month = jun,

day = "1",

doi = "10.1016/j.jalgebra.2008.01.008",

language = "English",

volume = "321",

pages = "3375--3396",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

number = "11",

}

TY - JOUR

T1 - The number of simple modules for the Hecke algebras of type G (r, p, n). (with an appendix by Xiaoyi Cui)

AU - Hu, Jun

PY - 2009/6/1

Y1 - 2009/6/1

N2 - 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.

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.

KW - Crystal base

KW - Cyclotomic Hecke algebra

KW - FLOTW r-multipartitions

KW - Fock space

KW - Kleshchev r-multipartition

UR - https://www.scopus.com/pages/publications/65049083645

U2 - 10.1016/j.jalgebra.2008.01.008

DO - 10.1016/j.jalgebra.2008.01.008

M3 - Article

AN - SCOPUS:65049083645

SN - 0021-8693

VL - 321

SP - 3375

EP - 3396

JO - Journal of Algebra

JF - Journal of Algebra

IS - 11

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this