The Ring of Representation

The Ring of Representation PDF

Author: Stephen David Ross

Publisher: SUNY Press

Published: 1992-07-01

Total Pages: 276

ISBN-13: 9780791411100

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This book asks how we may undertake to represent representation.

The Ring of Representation

The Ring of Representation PDF

Author: Stephen David Ross

Publisher: State University of New York Press

Published: 1992-07-01

Total Pages: 274

ISBN-13: 1438418000

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This book asks how we may undertake to represent representation.

A Course in Finite Group Representation Theory

A Course in Finite Group Representation Theory PDF

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.

Recent Advances in the Representation Theory of Rings and $C^\ast $-Algebras by Continuous Sections

Recent Advances in the Representation Theory of Rings and $C^\ast $-Algebras by Continuous Sections PDF

Author: John R. Liukkonen

Publisher: American Mathematical Soc.

Published: 1974

Total Pages: 194

ISBN-13: 0821818481

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From March 20 through April 5, 1973, the Mathematics Department of Tulane University organized a seminar on recent progress made in the general theory of the representation of rings and topological algebras by continuous sections in sheaves and bundles. The seminar was divided into two main sections: one concerned with sheaf representation, the other with bundle representation. The first was concerned with ringed spaces, applications to logic, universal algebra and lattice theory. The second was almost exclusively devoted to C*-algebra and Hilbert space bundles or closely related material. This collection represents the majority of the papers presented by seminar participants, with the addition of three papers which were presented by title.

Rings of Desire

Rings of Desire PDF

Author: Helen Stoddart

Publisher: Manchester University Press

Published: 2000

Total Pages: 226

ISBN-13: 9780719052347

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The circus has been both one of the most influential forms of international popular entertainment and yet at the same time remains almost entirely absent from academic studies of popular theatrical forms. This book offers readers an introduction to the cultural history of the circus and gives an account of the dominant characteristics of the circus's aesthetic practices and relates these to the sometimes precarious developments, changes and variations in its economic organization, architecture and social status. The book goes on to outline the particular challenges that this essentially live, dangerous and body-centred form presents to literary and film representation and does so through the particular examples of works by Charles Dickens, Federico Fellini and Wim Wenders. This wide-ranging and accessible book offers ways of thinking about the meaning and significance of the circus as a specifically modern form of art and entertainment.

A Tour of Representation Theory

A Tour of Representation Theory PDF

Author: Martin Lorenz

Publisher: American Mathematical Soc.

Published: 2018

Total Pages: 654

ISBN-13: 1470436809

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Representation theory investigates the different ways in which a given algebraic object--such as a group or a Lie algebra--can act on a vector space. Besides being a subject of great intrinsic beauty, the theory enjoys the additional benefit of having applications in myriad contexts outside pure mathematics, including quantum field theory and the study of molecules in chemistry. Adopting a panoramic viewpoint, this book offers an introduction to four different flavors of representation theory: representations of algebras, groups, Lie algebras, and Hopf algebras. A separate part of the book is devoted to each of these areas and they are all treated in sufficient depth to enable and hopefully entice the reader to pursue research in representation theory. The book is intended as a textbook for a course on representation theory, which could immediately follow the standard graduate abstract algebra course, and for subsequent more advanced reading courses. Therefore, more than 350 exercises at various levels of difficulty are included. The broad range of topics covered will also make the text a valuable reference for researchers in algebra and related areas and a source for graduate and postgraduate students wishing to learn more about representation theory by self-study.