An Introduction to Finite Tight Frames
An Introduction to Finite Tight Frames

Author: Shayne F. D. Waldron

Publisher: Springer

Published: 2018-02-03

Total Pages: 590

ISBN-13: 0817648151

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This textbook is an introduction to the theory and applications of finite tight frames, an area that has developed rapidly in the last decade. Stimulating much of this growth are the applications of finite frames to diverse fields such as signal processing, quantum information theory, multivariate orthogonal polynomials, and remote sensing. Featuring exercises and MATLAB examples in each chapter, the book is well suited as a textbook for a graduate course or seminar involving finite frames. The self-contained, user-friendly presentation also makes the work useful as a self-study resource or reference for graduate students, instructors, researchers, and practitioners in pure and applied mathematics, engineering, mathematical physics, and signal processing.

A Course in Finite Group Representation Theory
A Course in Finite Group Representation Theory

Author: Peter Webb

Publisher: Cambridge University Press

Published: 2016-08-19

Total Pages: 339

ISBN-13: 1107162394

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This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.

Representation Theory of Finite Groups and Related Topics
Representation Theory of Finite Groups and Related Topics

Author: Irving Reiner

Publisher: American Mathematical Soc.

Published: 1971

Total Pages: 186

ISBN-13: 0821814214

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This symposium, on Representation Theory of Finite Groups and Related Topics, was held in conjunction with a sectional meeting of the American Mathematical Society, and in honor of professor Richard Brauer. Dr. Brauer's fundamental work in representation theory is at the heart of many further developments in the topic. These proceedings contain the articles of participants, based on their symposium presentations, and indicate the scope of current research in representation theory.

Robert Steinberg Collected Papers
Robert Steinberg Collected Papers

Author: Robert Steinberg

Publisher: American Mathematical Soc.

Published: 1997

Total Pages: 628

ISBN-13: 9780821805763

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This volume is a collection of published papers by Robert Steinberg. It contains all of his published papers on group theory, including those on "special" representations (now called Steinberg representations), Coxeter groups, regular nilpotent elements and Galois cohomology. After each paper, there is a section, "Comments on the papers", that contains minor corrections and clarifications and explains how ideas and results have evolved and been used since they first appeared.

Clifford Algebras and their Applications in Mathematical Physics
Clifford Algebras and their Applications in Mathematical Physics

Author: A. Micali

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 509

ISBN-13: 9401580901

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This volume contains selected papers presented at the Second Workshop on Clifford Algebras and their Applications in Mathematical Physics. These papers range from various algebraic and analytic aspects of Clifford algebras to applications in, for example, gauge fields, relativity theory, supersymmetry and supergravity, and condensed phase physics. Included is a biography and list of publications of Mário Schenberg, who, next to Marcel Riesz, has made valuable contributions to these topics. This volume will be of interest to mathematicians working in the fields of algebra, geometry or special functions, to physicists working on quantum mechanics or supersymmetry, and to historians of mathematical physics.

Representation Theory of Finite Groups
Representation Theory of Finite Groups

Author: Benjamin Steinberg

Publisher: Springer Science & Business Media

Published: 2011-10-23

Total Pages: 166

ISBN-13: 1461407761

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This book is intended to present group representation theory at a level accessible to mature undergraduate students and beginning graduate students. This is achieved by mainly keeping the required background to the level of undergraduate linear algebra, group theory and very basic ring theory. Module theory and Wedderburn theory, as well as tensor products, are deliberately avoided. Instead, we take an approach based on discrete Fourier Analysis. Applications to the spectral theory of graphs are given to help the student appreciate the usefulness of the subject. A number of exercises are included. This book is intended for a 3rd/4th undergraduate course or an introductory graduate course on group representation theory. However, it can also be used as a reference for workers in all areas of mathematics and statistics.

Representations of Reductive Groups
Representations of Reductive Groups

Author: Roger W. Carter

Publisher: Cambridge University Press

Published: 1998-09-03

Total Pages: 203

ISBN-13: 0521643252

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This volume provides a very accessible introduction to the representation theory of reductive algebraic groups.

Infinite Dimensional Harmonic Analysis Iv: On The Interplay Between Representation Theory, Random Matrices, Special Functions, And Probability - Proceedings Of The Fourth German-japanese Symposium
Infinite Dimensional Harmonic Analysis Iv: On The Interplay Between Representation Theory, Random Matrices, Special Functions, And Probability - Proceedings Of The Fourth German-japanese Symposium

Author: Joachim Hilgert

Publisher: World Scientific

Published: 2008-11-26

Total Pages: 337

ISBN-13: 9814470449

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The Fourth Conference on Infinite Dimensional Harmonic Analysis brought together experts in harmonic analysis, operator algebras and probability theory. Most of the articles deal with the limit behavior of systems with many degrees of freedom in the presence of symmetry constraints. This volume gives new directions in research bringing together probability theory and representation theory.

Group Representations
Group Representations

Author: Gregory Karpilovsky

Publisher: Elsevier

Published: 2016-06-06

Total Pages: 919

ISBN-13: 1483295095

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This second volume deals with projective representations and the Schur multiplier. Some further topics pertaining to projective representations will be covered in the next volume. The bibliography is extensive, leading the reader to various references for detailed discussions on the main topics as well as on related subjects.