Braid Groups pp 151-193 | Cite as

Symmetric Groups and Iwahori–Hecke Algebras

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

The study of the braid group B n naturally leads to the so-called Iwahori—Hecke algebra H n . This algebra is a finite-dimensional quotient of the group algebra of B n depending on two parameters q and z. Our interest in the Iwahori—Hecke algebras is due to their connections to braids and links and to their beautiful representation theory discussed in the next chapter.


Commutative Ring Braid Group Simple Algebra Division Ring Algebra Homomorphism 
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

Personalised recommendations