Representation Theory And Harmonic Analysis Of Wreath Products Of Finite Groups
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Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups
A self-contained introduction to the representation theory and harmonic analysis of wreath products of finite groups, with examples and exercises.
Representation Theory of the Symmetric Groups
Author: Tullio Ceccherini-Silberstein
language: en
Publisher: Cambridge University Press
Release Date: 2010-02-04
The representation theory of the symmetric groups is a classical topic that, since the pioneering work of Frobenius, Schur and Young, has grown into a huge body of theory, with many important connections to other areas of mathematics and physics. This self-contained book provides a detailed introduction to the subject, covering classical topics such as the Littlewood–Richardson rule and the Schur–Weyl duality. Importantly the authors also present many recent advances in the area, including Lassalle's character formulas, the theory of partition algebras, and an exhaustive exposition of the approach developed by A. M. Vershik and A. Okounkov. A wealth of examples and exercises makes this an ideal textbook for graduate students. It will also serve as a useful reference for more experienced researchers across a range of areas, including algebra, computer science, statistical mechanics and theoretical physics.
Discrete Harmonic Analysis
Author: Tullio Ceccherini-Silberstein
language: en
Publisher: Cambridge University Press
Release Date: 2018-06-21
A self-contained introduction to discrete harmonic analysis with an emphasis on the Discrete and Fast Fourier Transforms.