Representations of Hecke Algebras at Roots of Unity

• Main Authors: Geck, Meinolf (Author), Jacon, Nicolas (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2011.
• Series: Algebra and Applications ; 15
• Subjects: Mathematics.; Associative rings.; Rings (Algebra).; Group theory.; Group Theory and Generalizations.; Associative Rings and Algebras.

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 algebr...

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.