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  • Book
  • © 1994

Representations of Affine Hecke Algebras

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1587)

Part of the book sub series: Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn (LNMMATH)

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Table of contents (12 chapters)

  1. Front Matter

    Pages I-VIII
  2. Hecke algebras

    • Nanhua Xi
    Pages 1-17
  3. qs-analogue of weight multiplicity

    • Nanhua Xi
    Pages 44-47
  4. The lowest two-sided cell

    • Nanhua Xi
    Pages 80-84
  5. Isogenous affine Hecke algebras

    • Nanhua Xi
    Pages 93-98
  6. Quotient algebras

    • Nanhua Xi
    Pages 99-101
  7. Simple modules attached to c 1

    • Nanhua Xi
    Pages 116-128
  8. Back Matter

    Pages 129-139

About this book

Kazhdan and Lusztig classified the simple modules of an affine Hecke algebra Hq (q E C*) provided that q is not a root of 1 (Invent. Math. 1987). Ginzburg had some very interesting work on affine Hecke algebras. Combining these results simple Hq-modules can be classified provided that the order of q is not too small. These Lecture Notes of N. Xi show that the classification of simple Hq-modules is essentially different from general cases when q is a root of 1 of certain orders. In addition the based rings of affine Weyl groups are shown to be of interest in understanding irreducible representations of affine Hecke algebras. Basic knowledge of abstract algebra is enough to read one third of the book. Some knowledge of K-theory, algebraic group, and Kazhdan-Lusztig cell of Cexeter group is useful for the rest

Keywords

  • Abstract algebra
  • Affine Hecke Algebras
  • K-theory
  • Representation
  • algebra

Bibliographic Information

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions