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Braid Groups pp 195-237 | Cite as

Representations of the Iwahori–Hecke Algebras

  • Christian Kassel
  • Vladimir Turaev
Chapter
Part of the Graduate Texts in Mathematics book series (GTM, volume 247)

In this chapter we study the linear representations of the one-parameter Iwahori–Hecke algebras of Section 4.2.2. Our aim is to classify their finite-dimensional representations over an algebraically closed field of characteristic zero in terms of partitions and Young diagrams. As an application, we prove that the reduced Burau representation introduced in Section 3.3 is irreducible. We end the chapter by a discussion of the Temperley–Lieb algebras.

Keywords

Young Diagram Simple Module Braid Group Graphical Interpretation Catalan Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Institut de Recherche Mathématique Avancée, CNRS et Université Louis PasteurStrasbourgFrance
  2. 2.Department of MathematicsIndiana University BloomingtonBloomingtonUSA

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