Induced representation of affine Hecke algebras and canonical bases of quantum groups

Bernard Leclerc; Maxim Nazarov; Jean-Yves Thibon

Induced representation of affine Hecke algebras and canonical bases of quantum groups

Bernard Leclerc, Maxim Nazarov, Jean-Yves Thibon

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Other chapter contribution

Abstract

A criterion of irreducibility for induction products of evaluation modules of type A affine Hecke algebras is given. It is derived from multiplicative properties of the canonical basis of a quantum deformation of the Bernstein-Zelevinsky ring.

Original language	English
Title of host publication	Studies in Memory of Issai Schur
Editors	Anthony Joseph, Anna Melnikov, Rudolf Rentschler
Publisher	Springer
Pages	115-153
Number of pages	39
Volume	210
ISBN (Print)	978-0-8176-4208-2
Publication status	Published - 2003

Publication series

Name	Progress in Mathematics
Publisher	Birkhauser
Volume	210

Keywords

algebra
math physics
representation theory

Access to Document

http://arxiv.org/abs/math.QA/0011074

Cite this

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title = "Induced representation of affine Hecke algebras and canonical bases of quantum groups",

abstract = "A criterion of irreducibility for induction products of evaluation modules of type A affine Hecke algebras is given. It is derived from multiplicative properties of the canonical basis of a quantum deformation of the Bernstein-Zelevinsky ring.",

keywords = "algebra, math physics, representation theory ",

author = "Bernard Leclerc and Maxim Nazarov and Jean-Yves Thibon",

year = "2003",

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volume = "210",

series = "Progress in Mathematics",

publisher = "Springer",

pages = "115--153",

editor = "Anthony Joseph and Anna Melnikov and Rudolf Rentschler",

booktitle = "Studies in Memory of Issai Schur",

address = "Germany",

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Induced representation of affine Hecke algebras and canonical bases of quantum groups. / Leclerc, Bernard; Nazarov, Maxim; Thibon, Jean-Yves.
Studies in Memory of Issai Schur. ed. / Anthony Joseph; Anna Melnikov; Rudolf Rentschler. Vol. 210 Springer, 2003. p. 115-153 (Progress in Mathematics; Vol. 210).

Research output: Chapter in Book/Report/Conference proceeding › Other chapter contribution

TY - CHAP

T1 - Induced representation of affine Hecke algebras and canonical bases of quantum groups

AU - Leclerc, Bernard

AU - Nazarov, Maxim

AU - Thibon, Jean-Yves

PY - 2003

Y1 - 2003

N2 - A criterion of irreducibility for induction products of evaluation modules of type A affine Hecke algebras is given. It is derived from multiplicative properties of the canonical basis of a quantum deformation of the Bernstein-Zelevinsky ring.

AB - A criterion of irreducibility for induction products of evaluation modules of type A affine Hecke algebras is given. It is derived from multiplicative properties of the canonical basis of a quantum deformation of the Bernstein-Zelevinsky ring.

KW - algebra

KW - math physics

KW - representation theory

M3 - Other chapter contribution

SN - 978-0-8176-4208-2

VL - 210

T3 - Progress in Mathematics

SP - 115

EP - 153

BT - Studies in Memory of Issai Schur

A2 - Joseph, Anthony

A2 - Melnikov, Anna

A2 - Rentschler, Rudolf

PB - Springer

ER -