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Induced Representations of Affine Hecke Algebras and Canonical Bases of Quantum Groups

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Studies in Memory of Issai Schur

Part of the book series: Progress in Mathematics ((PM,volume 210))

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.

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Author information

Authors and Affiliations

  1. Département de Mathématiques, Université de Caen Campus II, BP 5186, Caen cedex, 14032, France

    Bernard Leclerc

  2. Department of Mathematics, University of York, York, YO10 5DD, UK

    Maxim Nazarov

  3. Institut Gaspard Monge, Université de Marne-la-Vallée Champs-sur-Marne, Marne-la-Vallée cedex 2, 77454, France

    Jean-Yves Thibon

Authors
  1. Bernard Leclerc
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  2. Maxim Nazarov
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  3. Jean-Yves Thibon
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Weizmann Institute of Science, Rehovot, 76100, Israel

    Anthony Joseph

  2. Department of Mathematics, University of Haifa, Haifa, 31905, Israel

    Anna Melnikov

  3. Institut de Mathématiques, Univesité Pierre et Marie Curie, Paris Cedex, F-75013, France

    Rudolf Rentschler

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Leclerc, B., Nazarov, M., Thibon, JY. (2003). Induced Representations of Affine Hecke Algebras and Canonical Bases of Quantum Groups. In: Joseph, A., Melnikov, A., Rentschler, R. (eds) Studies in Memory of Issai Schur. Progress in Mathematics, vol 210. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0045-1_6

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  • DOI: https://doi.org/10.1007/978-1-4612-0045-1_6

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6587-0

  • Online ISBN: 978-1-4612-0045-1

  • eBook Packages: Springer Book Archive

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