Representations of Hecke Algebras at Roots of Unity

Author:   Meinolf Geck ,  Nicolas Jacon
Publisher:   Springer London Ltd
Edition:   2011
Volume:   15
ISBN:  

9780857297150


Pages:   404
Publication Date:   20 May 2011
Format:   Hardback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Representations of Hecke Algebras at Roots of Unity


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Full Product Details

Author:   Meinolf Geck ,  Nicolas Jacon
Publisher:   Springer London Ltd
Imprint:   Springer London Ltd
Edition:   2011
Volume:   15
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   0.787kg
ISBN:  

9780857297150


ISBN 10:   0857297155
Pages:   404
Publication Date:   20 May 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Generic Iwahori–Hecke algebras.- Kazhdan–Lusztig cells and cellular bases.- Specialisations and decomposition maps.- Hecke algebras and finite groups of Lie type.- Representation theory of Ariki–Koike algebras.- Canonical bases in affine type A and Ariki’s theorem.- Decomposition numbers for exceptional types.

Reviews

From the reviews: This book unifies and summaries some of the work, mostly done during the last ten years, on representations of Iwahori-Hecke algebras of finite Coxeter groups. ... The book is very nicely written, striking the ideal balance between providing a uniform treatment of the finite Coxeter groups on the one hand, and presenting type-specific material on the other. ... In summary, this book is excellent. It will serve primarily as a reference for experts, but would also work well for self-study for a graduate student. (Matthew Fayers, Zentralblatt MATH, Vol. 1232, 2012)


From the reviews: This book unifies and summaries some of the work, mostly done during the last ten years, on representations of Iwahori-Hecke algebras of finite Coxeter groups. ... The book is very nicely written, striking the ideal balance between providing a uniform treatment of the finite Coxeter groups on the one hand, and presenting type-specific material on the other. ... In summary, this book is excellent. It will serve primarily as a reference for experts, but would also work well for self-study for a graduate student. (Matthew Fayers, Zentralblatt MATH, Vol. 1232, 2012)


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