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Item Details
| Title:
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REPRESENTATIONS OF HECKE ALGEBRAS AT ROOTS OF UNITY
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| By: |
Meinolf Geck, Nicolas Jacon |
| Format: |
Hardback |
| List price:
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£81.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0857297155 |
| ISBN 13: |
9780857297150 |
| Publisher: |
SPRINGER LONDON LTD |
| Pub. date: |
20 May, 2011 |
| Edition: |
2011 |
| Series: |
Algebra and Applications 15 |
| Pages: |
404 |
| Description: |
Fulfilling a valuable need in the field, this volume classifies the irreducible representations of Iwahori-Hecke algebras at roots of unity. The text develops an analogue of James' (1970) "characteristic-free" approach to the representation theory of Iwahori-Hecke algebras in general. |
| Synopsis: |
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 not 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. |
| Illustrations: |
biography |
| Publication: |
UK |
| Imprint: |
Springer London Ltd |
| Returns: |
Returnable |
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