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Author: Tullio Ceccherini-Silberstein
Publisher: Cambridge University Press
ISBN: 1107729912
Category : Mathematics
Languages : en
Pages : 177
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Book Description
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.
Author: Tullio Ceccherini-Silberstein
Publisher: Cambridge University Press
ISBN: 1107729912
Category : Mathematics
Languages : en
Pages : 177
Get Book Here
Book Description
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.
Author: Tullio Ceccherini-Silberstein
Publisher: Cambridge University Press
ISBN: 1107627850
Category : Mathematics
Languages : en
Pages : 177
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Book Description
A self-contained introduction to the representation theory and harmonic analysis of wreath products of finite groups, with examples and exercises.
Author: Pierre-Loic Meliot
Publisher: CRC Press
ISBN: 1315353857
Category : Mathematics
Languages : en
Pages : 567
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Book Description
Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on the subject of symmetric groups and representation theory. Utilizing new research and results, this book can be studied from a combinatorial, algorithmic or algebraic viewpoint. This book is an excellent way of introducing today’s students to representation theory of the symmetric groups, namely classical theory. From there, the book explains how the theory can be extended to other related combinatorial algebras like the Iwahori-Hecke algebra. In a clear and concise manner, the author presents the case that most calculations on symmetric group can be performed by utilizing appropriate algebras of functions. Thus, the book explains how some Hopf algebras (symmetric functions and generalizations) can be used to encode most of the combinatorial properties of the representations of symmetric groups. Overall, the book is an innovative introduction to representation theory of symmetric groups for graduate students and researchers seeking new ways of thought.
Author: Tullio Ceccherini-Silberstein
Publisher: Cambridge University Press
ISBN: 1107182336
Category : Mathematics
Languages : en
Pages : 589
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Book Description
A self-contained introduction to discrete harmonic analysis with an emphasis on the Discrete and Fast Fourier Transforms.
Author: Matthias Keller
Publisher: Cambridge University Press
ISBN: 1108713181
Category : Mathematics
Languages : en
Pages : 493
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Book Description
A contemporary exploration of the interplay between geometry, spectral theory and stochastics which is explored for graphs and manifolds.
Author: Grant Walker
Publisher: Cambridge University Press
ISBN: 1108355927
Category : Mathematics
Languages : en
Pages : 381
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Book Description
This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's `hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n, F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.
Author: Grant Walker (Mathematician)
Publisher: Cambridge University Press
ISBN: 1108414451
Category : Polynomials
Languages : en
Pages : 381
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Book Description
This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's 'hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n,F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.
Author: Thierry Daudé
Publisher: Cambridge University Press
ISBN: 1108500781
Category : Science
Languages : en
Pages : 381
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Book Description
This volume compiles notes from four mini courses given at the summer school on asymptotic analysis in general relativity, held at the Institut Fourier in Grenoble, France. It contains an up-to-date panorama of modern techniques in the asymptotic analysis of classical and quantum fields in general relativity. Accessible to graduate students, these notes gather results that were not previously available in textbooks or monographs and will be of wider interest to researchers in general relativity. The topics of these mini courses are: the geometry of black hole spacetimes; an introduction to quantum field theory on curved spacetimes; conformal geometry and tractor calculus; and microlocal analysis for wave propagation.
Author: Peter H. Kropholler
Publisher: Cambridge University Press
ISBN: 131662322X
Category : Mathematics
Languages : en
Pages : 277
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Book Description
Surveys the state of the art in geometric and cohomological group theory. Ideal entry point for young researchers.
Author: Wolfgang Metzler
Publisher: Cambridge University Press
ISBN: 1316600904
Category : Mathematics
Languages : en
Pages : 193
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Book Description
Presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Useful for both students and experts.
