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Field name	Details
Dewey Class	512.2
Title	Representations of Hecke Algebras at Roots of Unity ([Ebook]) / by Meinolf Geck, Nicolas Jacon.
Author	Geck, Meinolf
Added Personal Name	Jacon, Nicolas
Other name(s)	SpringerLink (Online service)
Publication	London : Springer Lodon , 2011.
Physical Details	XII, 404 pages : online resource.
Series	Algebra and Applications ; 15
ISBN	9780857297167
Summary Note	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.:
Contents note	Generic IwahoriâHecke algebras -- Kazhdan-Lusztig cells and cellular bases -- Specialisations and decomposition maps -- Hecke algebras and finite groups of Lie type -- Representation theory of ArikiâKoike algebras -- Canonical bases in affine type A and Arikiâs theorem -- Decomposition numbers for exceptional types.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-0-85729-716-7
Links to Related Works	Subject References: Algebra . Associative Rings and Algebras . Group theory . Group Theory and Generalizations . Hecke algebras . Representations of algebras . Authors: author . Geck, Meinolf . Jacon, Nicolas . Corporate Authors: SpringerLink (Online service) . Series: Algebra and Applications . Classification: 512.2 . 512.2 (DDC 23) .

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Representations of Hecke Algebras at Roots of Unity

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