%0 Book
%0 [E-Book] /
%A Scarabotti, Fabio
%A Tolli, Filippo
%A Ceccherini-Silberstein, Tullio
%I Cambridge University Press
%D 2014
%C Cambridge
%P 1 online resource (xii, 163 pages)
%G englisch
%B London Mathematical Society lecture note series ;
%V 410
%@ 9781107279087
%@ 9781107627857
%T Representation theory and harmonic analysis of wreath products of finite groups [E-Book]
%U https://doi.org/10.1017/CBO9781107279087
%X This book presents an introduction to the representation theory of wreath products of finite groups and harmonic analysis on the corresponding homogeneous spaces. The reader will find a detailed description of the theory of induced representations and Clifford theory, focusing on a general formulation of the little group method. This provides essential tools for the determination of all irreducible representations of wreath products of finite groups. The exposition also includes a detailed harmonic analysis of the finite lamplighter groups, the hyperoctahedral groups, and the wreath product of two symmetric groups. This relies on the generalised Johnson scheme, a new construction of finite Gelfand pairs. The exposition is completely self-contained and accessible to anyone with a basic knowledge of representation theory. Plenty of worked examples and several exercises are provided, making this volume an ideal textbook for graduate students. It also represents a useful reference for more experienced researchers.
%K Harmonic analysis.
%K Finite groups.
%~ JuLib eXtended
%W Forschungszentrum Jülich GmbH, Zentralbibliothek