The Ring of Representation PDF Download
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Author: Stephen David Ross
Publisher: SUNY Press
ISBN: 9780791411094
Category : Philosophy
Languages : en
Pages : 274
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Book Description
This book asks how we may undertake to represent representation.
Author: Stephen David Ross
Publisher: SUNY Press
ISBN: 9780791411094
Category : Philosophy
Languages : en
Pages : 274
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Book Description
This book asks how we may undertake to represent representation.
Author: Peter Webb
Publisher: Cambridge University Press
ISBN: 1107162394
Category : Mathematics
Languages : en
Pages : 339
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Book Description
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.
Author: John R. Liukkonen
Publisher: American Mathematical Soc.
ISBN: 0821818481
Category : Mathematics
Languages : en
Pages : 194
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Book Description
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.
Author: John Dauns
Publisher: American Mathematical Soc.
ISBN: 0821812831
Category : Algebra
Languages : en
Pages : 194
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Book Description
Author: A. H. Schofield
Publisher: Cambridge University Press
ISBN: 0521278538
Category : Mathematics
Languages : en
Pages : 237
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Book Description
A study of representations of rings over skew fields.
Author: M. Isaacs
Publisher: American Mathematical Soc.
ISBN: 0821850989
Category : Computers
Languages : en
Pages : 392
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Book Description
Dedicated to the memory of the Soviet mathematician S D Berman (1922-1987), this work covers topics including Berman's achievements in coding theory, including his pioneering work on abelian codes and his results on the theory of threshold functions.
Author: D. Benson
Publisher: Springer Science & Business Media
ISBN: 3540133895
Category : Mathematics
Languages : en
Pages : 246
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Book Description
This reprint of a 1983 Yale graduate course makes results in modular representation theory accessible to an audience ranging from second-year graduate students to established mathematicians. Following a review of background material, the lectures examine three closely connected topics in modular representation theory of finite groups: representations rings; almost split sequences and the Auslander-Reiten quiver; and complexity and cohomology varieties, which has become a major theme in representation theory.
Author: Nathan Jacobson
Publisher: American Mathematical Soc.
ISBN: 0821815024
Category : Mathematics
Languages : en
Pages : 160
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Book Description
The book is mainly concerned with the theory of rings in which both maximal and minimal conditions hold for ideals (except in the last chapter, where rings of the type of a maximal order in an algebra are considered). The central idea consists of representing rings as rings of endomorphisms of an additive group, which can be achieved by means of the regular representation.
Author: D. J. Benson
Publisher: Cambridge University Press
ISBN: 9780521636537
Category : Mathematics
Languages : en
Pages : 260
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Book Description
An introduction to modern developments in the representation theory of finite groups and associative algebras.
Author: Martin Lorenz
Publisher: American Mathematical Soc.
ISBN: 1470436809
Category : Mathematics
Languages : en
Pages : 674
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Book Description
Offers an introduction to four different flavours 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 the reader to pursue research in representation theory.
