Noncommutative Algebraic Geometry and Representations of Quantized Algebras / Edition 1

Noncommutative Algebraic Geometry and Representations of Quantized Algebras / Edition 1

by A. Rosenberg
     
 

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ISBN-10: 9048145775

ISBN-13: 9789048145775

Pub. Date: 12/03/2010

Publisher: Springer Netherlands

This book contains an introduction to the recently developed spectral theory of associative rings and Abelian categories, and its applications to the study of irreducible representations of classes of algebras which play an important part in modern mathematical physics.
Audience: A self-contained volume for researchers and graduate students interested in

Overview

This book contains an introduction to the recently developed spectral theory of associative rings and Abelian categories, and its applications to the study of irreducible representations of classes of algebras which play an important part in modern mathematical physics.
Audience: A self-contained volume for researchers and graduate students interested in new geometric ideas in algebra, and in the spectral theory of noncommutative rings, currently invading mathematical physics. Valuable reading for mathematicians working on representation theory, quantum groups and related topics, noncommutative algebra, algebraic geometry, and algebraic K-theory.

Product Details

ISBN-13:
9789048145775
Publisher:
Springer Netherlands
Publication date:
12/03/2010
Series:
Mathematics and Its Applications (closed) Series, #330
Edition description:
Softcover reprint of hardcover 1st ed. 1995
Pages:
322
Product dimensions:
6.14(w) x 9.21(h) x 0.70(d)

Table of Contents

Preface. I. Noncommutative Affine Schemes. II. The Left Spectrum and Irreducible Representation of 'Small' Quantized and Classical Rings. III. Noncommutative Local Algebra. IV. Noncommutative Local Algebra and Representations of Certain Rings of Mathematical Physics. V. Skew PBW Monads and Representations. VI. Six Spectra and Two Dimensions of an Abelian Category. VII. Noncommutative Projective Spectrum. References. Index of Notations. Index.

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