By Meinolf Geck,Nicolas Jacon

Presenting a scientific and unified remedy of representations of Hecke algebras at roots of cohesion, this ebook is exclusive in its process and contains new effects that experience now not but been released in publication shape. It additionally serves as history examining to additional energetic components of present learn reminiscent of the speculation of affine Hecke algebras and Cherednik algebras.

The major result of this publication are got through an interplay of numerous branches of arithmetic, specifically the idea of Fock areas for quantum affine Lie algebras and Ariki's theorem, the combinatorics of crystal bases, the idea of Kazhdan-Lusztig bases and cells, and computational methods.

This ebook might be of use to researchers and graduate scholars in illustration concept in addition to any researchers outdoor of the sphere with an curiosity in Hecke algebras.