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*Characters of Finite Coxeter Groups
and Iwahori-Hecke Algebras*

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London Math. Society Monographs, New Series, vol. 21

Oxford University Press, 2000. xvi+446 pages.

ISBN 0-19-850250-8

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*by*

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Meinolf Geck
(Université Lyon 1, France)

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Goetz Pfeiffer
(National University of Galway, Ireland)

Finite Coxeter groups and related structures arise naturally in
several branches of mathematics, for example, the theory of Lie algebras
and algebraic groups. The corresponding Iwahori-Hecke algebras are
obtained by a certain deformation process; they have applications in the
representation theory of groups of Lie type and the theory of knots and
links.
The aim of this book is to develop the theory of conjugacy classes and
irreducible characters, both for finite Coxeter groups and the associated
Iwahori-Hecke algebras. The topics range from classical results to more
recent developments and are treated in a coherent and self-contained way,
both from a theoretical and an
algorithmic point of view.

Review by Roger W. Carter in Bull. (New Series)
Amer. Math. Soc. 39 (2002), 267--272.
Errata (last update april 2004)