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Symmetric Groups and Iwahori–Hecke Algebras

Identifieur interne : 000805 ( Main/Exploration ); précédent : 000804; suivant : 000806

Symmetric Groups and Iwahori–Hecke Algebras

Auteurs : Christian Kassel [France] ; Vladimir Turaev [États-Unis]

Source :

RBID : ISTEX:A53BF80E405F97F421A86FC612F98723A75017B8

Abstract

: 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.

Url:
DOI: 10.1007/978-0-387-68548-9_4


Affiliations:


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