Representations of Hecke Algebras at Roots of Unity is popular PDF and ePub book, written by Meinolf Geck in 2011-05-18, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Representations of Hecke Algebras at Roots of Unity can be Read Online from any device for your convenience.
Representations of Hecke Algebras at Roots of Unity Book PDF Summary
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.
Detail Book of Representations of Hecke Algebras at Roots of Unity PDF
- Author : Meinolf Geck
- Release : 18 May 2011
- Publisher : Springer Science & Business Media
- ISBN : 9780857297167
- Genre : Mathematics
- Total Page : 410 pages
- Language : English
- PDF File Size : 13,7 Mb
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