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Representations of Hecke Algebras at Roots of Unity by Meinolf Geck, Nicolas Jacon (Paperback, 2013)

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Product Information

The modular representation theory of Iwahori-Hecke algebras and this theory's connection to groups of Lie type is an area of rapidly expanding interest; it is one that has also seen a number of breakthroughs in recent years. In classifying the irreducible representations of Iwahori-Hecke algebras at roots of unity, this book is a particularly valuable addition to current research in this field. Using the framework provided by the Kazhdan-Lusztig theory of cells, the authors develop an analogue of James' (1970) characteristic-free approach to the representation theory of Iwahori-Hecke algebras in general. Presenting a systematic and unified treatment of representations of Hecke algebras at roots of unity, this book is unique in its approach and includes new results that have t yet been published in book form. It also serves as background reading to further active areas of current research such as the theory of affine Hecke algebras and Cherednik algebras. The main results of this book are obtained by an interaction of several branches of mathematics, namely the theory of Fock spaces for quantum affine Lie algebras and Ariki's theorem, the combinatorics of crystal bases, the theory of Kazhdan-Lusztig bases and cells, and computational methods. This book will be of use to researchers and graduate students in representation theory as well as any researchers outside of the field with an interest in Hecke algebras.

Product Identifiers

Publisher
Springer London Ltd
ISBN-10
1447126572
ISBN-13
9781447126577
eBay Product ID (ePID)
189610693

Product Key Features

Author
Nicolas Jacon, Meinolf Geck
Format
Trade Paperback (US), Paperback
Language
English
Subject
Mathematics
Type
Textbook

Dimensions

Weight
581g
Height
234mm
Width
156mm

Additional Product Features

Place of Publication
England
Spine
21mm
Series Part/Volume Number
15
Series Title
Algebra and Applications
Content Note
Biography
Date of Publication
14/07/2013
Country of Publication
United Kingdom
Genre
Mathematics

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Representations of Hecke Algebras at Roots of Unity by Meinolf Geck, Nicolas Jacon (Paperback, 2013)

Best-selling in Adult Learning & University

Secrets Of Mental Math: The Mathemagician's Guide to Lightening Calculation and Amazing Maths Tricks by Arthur Benjamin, Michael Shermer (Paperback, 2006)

The Falsification of History: Our Distorted Reality by John Hamer (Paperback, 2013)

Code of Practice for In-service Inspection and Testing of Electrical Equipment by The Institution of Engineering and Technology (Paperback, 2020)

Cognitive Behavior Therapy: Basics and Beyond by Aaron T. Beck, Judith S. Beck (Hardcover, 2020)

Bee Manual: The complete step-by-step guide to keeping bees by Claire Waring (Hardcover, 2015)

Happy Odyssey by Adrian Carton de Wiart (Paperback, 2007)

Adult Children of Emotionally Immature Parents: How to Heal from Distant, Rejecting, or Self-Involved Parents by Lindsay C Gibson (Paperback, 2015)

Save on Adult Learning & University

Bee Manual - 9780857338099

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The Book of Symbols. Reflections on Archetypal Images by Archive for Research...

Outside In: A Year of Growing & Displaying by Sean A. Pritchard Hardcover Book

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