SCHUR ELEMENTS AND BASIC SETS FOR CYCLOTOMIC HECKE ALGEBRAS

Maria Chlouveraki; Nicolas Jacon

doi:10.1142/S0219498811005075

SCHUR ELEMENTS AND BASIC SETS FOR CYCLOTOMIC HECKE ALGEBRAS

Maria Chlouveraki, Nicolas Jacon

School of Mathematics

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

Abstract / Description of output

We study the Schur elements and the a-function for cyclotomic Hecke algebras. As a consequence, we show the existence of canonical basic sets, as defined by Geck-Rouquier, for certain complex reflection groups. This includes the case of finite Weyl groups for all choices of parameters (in characteristic 0).

Original language	English
Pages (from-to)	979-993
Number of pages	15
Journal	Journal of algebra and its applications
Volume	10
Issue number	5
DOIs	https://doi.org/10.1142/S0219498811005075
Publication status	Published - Oct 2011

Keywords / Materials (for Non-textual outputs)

Hecke algebras
symmetric algebras
a-function
Schur elements
basic sets
ARIKI-KOIKE ALGEBRAS
SIMPLE MODULES
REPRESENTATIONS

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10.1142/S0219498811005075

Cite this

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title = "SCHUR ELEMENTS AND BASIC SETS FOR CYCLOTOMIC HECKE ALGEBRAS",

abstract = "We study the Schur elements and the a-function for cyclotomic Hecke algebras. As a consequence, we show the existence of canonical basic sets, as defined by Geck-Rouquier, for certain complex reflection groups. This includes the case of finite Weyl groups for all choices of parameters (in characteristic 0).",

keywords = "Hecke algebras, symmetric algebras, a-function, Schur elements, basic sets, ARIKI-KOIKE ALGEBRAS, SIMPLE MODULES, REPRESENTATIONS",

author = "Maria Chlouveraki and Nicolas Jacon",

year = "2011",

month = oct,

doi = "10.1142/S0219498811005075",

language = "English",

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pages = "979--993",

journal = "Journal of algebra and its applications",

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T1 - SCHUR ELEMENTS AND BASIC SETS FOR CYCLOTOMIC HECKE ALGEBRAS

AU - Chlouveraki, Maria

AU - Jacon, Nicolas

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N2 - We study the Schur elements and the a-function for cyclotomic Hecke algebras. As a consequence, we show the existence of canonical basic sets, as defined by Geck-Rouquier, for certain complex reflection groups. This includes the case of finite Weyl groups for all choices of parameters (in characteristic 0).

AB - We study the Schur elements and the a-function for cyclotomic Hecke algebras. As a consequence, we show the existence of canonical basic sets, as defined by Geck-Rouquier, for certain complex reflection groups. This includes the case of finite Weyl groups for all choices of parameters (in characteristic 0).

KW - Hecke algebras

KW - symmetric algebras

KW - a-function

KW - Schur elements

KW - basic sets

KW - ARIKI-KOIKE ALGEBRAS

KW - SIMPLE MODULES

KW - REPRESENTATIONS

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U2 - 10.1142/S0219498811005075

DO - 10.1142/S0219498811005075

M3 - Article

SN - 0219-4988

VL - 10

SP - 979

EP - 993

JO - Journal of algebra and its applications

JF - Journal of algebra and its applications

IS - 5

ER -

SCHUR ELEMENTS AND BASIC SETS FOR CYCLOTOMIC HECKE ALGEBRAS

Abstract / Description of output

Keywords / Materials (for Non-textual outputs)

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