Symmetric Groups and Iwahori–Hecke Algebras
Identifieur interne : 000805 ( Main/Exploration ); précédent : 000804; suivant : 000806Symmetric Groups and Iwahori–Hecke Algebras
Auteurs : Christian Kassel [France] ; Vladimir Turaev [États-Unis]Source :
- Graduate Texts in Mathematics [ 0072-5285 ] ; 2008.
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:
- France, États-Unis
- Alsace (région administrative), Grand Est, Indiana
- Strasbourg
- Université Strasbourg 1
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<front><div type="abstract" xml:lang="en">: 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.</div>
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