Overview

This text 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. It is 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. It should be useful reading for mathematicians working on representation theory, quantum groups and related topics, noncommutative algebra, algebraic geometry, and algebraic K-theory.

Full Product Details

Author:   A. Rosenberg
Publisher:   Springer
Imprint:   Springer
Edition:   1995 ed.
Volume:   330
Dimensions:   Width: 15.60cm , Height: 2.00cm , Length: 23.40cm
Weight:   1.440kg
ISBN:  

9780792335757

ISBN 10:   0792335759
Pages:   322
Publication Date:   30 June 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

I Noncommutative affine schemes.- II The left spectrum and irreducible representations 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.- Reference.- Index of Notations.

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