Introduction To The Representation Theory Of Compact And Locally Compact Groups

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Introduction To The Representation Theory Of Compact And Locally Compact Groups

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Author : Alain Robert
language : en
Publisher: Cambridge University Press
Release Date : 1983-02-10

Introduction To The Representation Theory Of Compact And Locally Compact Groups written by Alain Robert and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-02-10 with Mathematics categories.

Because of their significance in physics and chemistry, representation of Lie groups has been an area of intensive study by physicists and chemists, as well as mathematicians. This introduction is designed for graduate students who have some knowledge of finite groups and general topology, but is otherwise self-contained. The author gives direct and concise proofs of all results yet avoids the heavy machinery of functional analysis. Moreover, representative examples are treated in some detail.

Introduction To The Representation Theory Of Compact And Locally Compact Groups

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Author : Robert
language : en
Publisher:
Release Date : 1983

Introduction To The Representation Theory Of Compact And Locally Compact Groups written by Robert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.

Representations Of Algebras Locally Compact Groups And Banach Algebraic Bundles

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Author : J. M.G. Fell
language : en
Publisher: Academic Press
Release Date : 1988-04-15

Representations Of Algebras Locally Compact Groups And Banach Algebraic Bundles written by J. M.G. Fell and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-04-15 with Mathematics categories.

This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-contained (except for some elementary knowledge in algebra, topology, and abstract measure theory). In the later chapters the reader is brought to the frontiers of present-day knowledge in the area of Mackey normal subgroup analysisand its generalization to the context of Banach *-Algebraic Bundles.

Induced Representations Of Locally Compact Groups

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Author : Eberhard Kaniuth
language : en
Publisher: Cambridge University Press
Release Date : 2013

Induced Representations Of Locally Compact Groups written by Eberhard Kaniuth and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.

A comprehensive presentation of the theories of induced representations and Mackey analysis applied to a wide variety of groups.

Introduction To The Theory Of Banach Representations Of Groups

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Author : Yurii I. Lyubich
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Introduction To The Theory Of Banach Representations Of Groups written by Yurii I. Lyubich and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Social Science categories.

The theory of group representations plays an important roie in modern mathematics and its applica~ions to natural sciences. In the compulsory university curriculum it is included as a branch of algebra, dealing with representations of finite groups (see, for example, the textbook of A. I. Kostrikin [25]). The representation theory for compact, locally compact Abelian, and Lie groups is co vered in graduate courses, concentrated around functional analysis. The author of the present boo~ has lectured for many years on functional analysis at Khar'kov University. He subsequently con tinued these lectures in the form of a graduate course on the theory of group representations, in which special attention was devoted to a retrospective exposition of operator theory and harmo nic analysis of functions from the standpoint of representation theory. In this approach it was natural to consider not only uni tary, but also Banach representations, and not only representations of groups, but also of semigroups.

A Course In Abstract Harmonic Analysis

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Author : Gerald B. Folland
language : en
Publisher: CRC Press
Release Date : 2016-02-03

A Course In Abstract Harmonic Analysis written by Gerald B. Folland and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-03 with Mathematics categories.

A Course in Abstract Harmonic Analysis is an introduction to that part of analysis on locally compact groups that can be done with minimal assumptions on the nature of the group. As a generalization of classical Fourier analysis, this abstract theory creates a foundation for a great deal of modern analysis, and it contains a number of elegant resul

Pontryagin Duality And The Structure Of Locally Compact Abelian Groups

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Author : Sidney A. Morris
language : en
Publisher: Cambridge University Press
Release Date : 1977-08-04

Pontryagin Duality And The Structure Of Locally Compact Abelian Groups written by Sidney A. Morris and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-08-04 with Mathematics categories.

These lecture notes begin with an introduction to topological groups and proceed to a proof of the important Pontryagin-van Kampen duality theorem and a detailed exposition of the structure of locally compact abelian groups. Measure theory and Banach algebra are entirely avoided and only a small amount of group theory and topology is required, dealing with the subject in an elementary fashion. With about a hundred exercises for the student, it is a suitable text for first-year graduate courses.

An Introduction To The Representation Theory Of Groups

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Author : Emmanuel Kowalski
language : en
Publisher: American Mathematical Society
Release Date : 2014-08-28

An Introduction To The Representation Theory Of Groups written by Emmanuel Kowalski and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-28 with Mathematics categories.

Representation theory is an important part of modern mathematics, not only as a subject in its own right but also as a tool for many applications. It provides a means for exploiting symmetry, making it particularly useful in number theory, algebraic geometry, and differential geometry, as well as classical and modern physics. The goal of this book is to present, in a motivated manner, the basic formalism of representation theory as well as some important applications. The style is intended to allow the reader to gain access to the insights and ideas of representation theory--not only to verify that a certain result is true, but also to explain why it is important and why the proof is natural. The presentation emphasizes the fact that the ideas of representation theory appear, sometimes in slightly different ways, in many contexts. Thus the book discusses in some detail the fundamental notions of representation theory for arbitrary groups. It then considers the special case of complex representations of finite groups and discusses the representations of compact groups, in both cases with some important applications. There is a short introduction to algebraic groups as well as an introduction to unitary representations of some noncompact groups. The text includes many exercises and examples.

A Journey Through Representation Theory

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Author : Caroline Gruson
language : en
Publisher: Springer
Release Date : 2018-10-23

A Journey Through Representation Theory written by Caroline Gruson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-23 with Mathematics categories.

This text covers a variety of topics in representation theory and is intended for graduate students and more advanced researchers who are interested in the field. The book begins with classical representation theory of finite groups over complex numbers and ends with results on representation theory of quivers. The text includes in particular infinite-dimensional unitary representations for abelian groups, Heisenberg groups and SL(2), and representation theory of finite-dimensional algebras. The last chapter is devoted to some applications of quivers, including Harish-Chandra modules for SL(2). Ample examples are provided and some are revisited with a different approach when new methods are introduced, leading to deeper results. Exercises are spread throughout each chapter. Prerequisites include an advanced course in linear algebra that covers Jordan normal forms and tensor products as well as basic results on groups and rings.

Introduction To The Representation Theory Of Compact And Locally Compact Groups

DOWNLOAD
Author : Alain Robert
language : en
Publisher: Cambridge University Press
Release Date : 1983-02-10

Introduction To The Representation Theory Of Compact And Locally Compact Groups written by Alain Robert and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-02-10 with Mathematics categories.

Because of their significance in physics and chemistry, representation of Lie groups has been an area of intensive study by physicists and chemists, as well as mathematicians. This introduction is designed for graduate students who have some knowledge of finite groups and general topology, but is otherwise self-contained. The author gives direct and concise proofs of all results yet avoids the heavy machinery of functional analysis. Moreover, representative examples are treated in some detail.