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)

• 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.

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)

• 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.

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)

• 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.