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Hecke Algebras with Unequal Parameters (Crm Monograph Series) - G. Lusztig
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G. Lusztig:

Hecke Algebras with Unequal Parameters (Crm Monograph Series) - hardcover

ISBN: 0821833561

[SR: 5066350], Hardcover, [EAN: 9780821833568], American Mathematical Society, American Mathematical Society, Book, [PU: American Mathematical Society], American Mathematical Society, Hec… More...

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Hecke Algebras with Unequal Parameters - George Lusztig
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George Lusztig:

Hecke Algebras with Unequal Parameters - hardcover

ISBN: 9780821833568

Hardback, [PU: American Mathematical Society], Hecke algebras arise in representation theory as endomorphism algebras of induced representations. In 1979, in the simplest (equal parameter… More...

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G. Lusztig:
Hecke Algebras with Unequal Parameters - hardcover

ISBN: 9780821833568

Hardback, [PU: American Mathematical Society], Hecke algebras arise in representation theory as endomorphism algebras of induced representations. In 1979, in the simplest (equal parameter… More...

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Hecke Algebras With Unequal Parameters (Crm Monograph Series, Band 18) - G. Lusztig
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G. Lusztig:
Hecke Algebras With Unequal Parameters (Crm Monograph Series, Band 18) - hardcover

ISBN: 0821833561

[SR: 2426026], Gebundene Ausgabe, [EAN: 9780821833568], Oxford University Press, Oxford University Press, Book, [PU: Oxford University Press], Oxford University Press, 56231011, Algebra, … More...

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G. Lusztig:
Hecke Algebras with Unequal Parameters (Crm Monograph Series) - hardcover

2003, ISBN: 9780821833568

American Mathematical Society, 2003-02-04. Hardcover. Good., American Mathematical Society, 2003-02-04

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Hecke Algebras with Unequal Parameters (CRM Monograph Series)
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ISBN:

9780821833568


Hecke algebras arise in representation theory as endomorphism algebras of induced representations. One of the most important classes of Hecke algebras is related to representations of reductive algebraic groups over $p$-adic or finite fields. In 1979, in the simplest (equal parameter) case of such Hecke algebras, Kazhdan and Lusztig discovered a particular basis (the KL-basis) in a Hecke algebra, which is very important in studying relations between representation theory and geometry of the corresponding flag varieties. It turned out that the elements of the KL-basis also possess very interesting combinatorial properties. In the present book, the author extends the theory of the KL-basis to a more general class of Hecke algebras, the so-called algebras with unequal parameters. In particular, he formulates conjectures describing the properties of Hecke algebras with unequal parameters and presents examples verifying these conjectures in particular cases. Written in the author's precise style, the book gives researchers and graduate students working in the theory of algebraic groups and their representations an invaluable insight and a wealth of new and useful information.

Details of the book - Hecke Algebras with Unequal Parameters (CRM Monograph Series)


EAN (ISBN-13): 9780821833568
ISBN (ISBN-10): 0821833561
Hardcover
Paperback
Publishing year: 2003
Publisher: American Mathematical Society

Book in our database since 2007-04-04T06:56:07-04:00 (New York)
Detail page last modified on 2021-01-27T20:49:13-05:00 (New York)
ISBN/EAN: 9780821833568

ISBN - alternate spelling:
0-8218-3356-1, 978-0-8218-3356-8
Alternate spelling and related search-keywords:
Book title: hecke, crm

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