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An Introduction To K Theory For C Algebras

Author: M. Rørdam
Publisher: Cambridge University Press
ISBN: 9780521789448
Size: 50.33 MB
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This book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students.

Introduction To Subfactors

Author: V. Jones
Publisher: Cambridge University Press
ISBN: 9780521584203
Size: 36.21 MB
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These notes give an introduction to subfactors suitable for newcomers to the field.

Introduction To The Representation Theory Of Compact And Locally Compact Groups

Author: Alain Robert
Publisher: Cambridge University Press
ISBN: 0521289750
Size: 79.62 MB
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Because of their significance in physics and chemistry, representation of Lie groups has been an area of intensive study by physicists and chemists, as well as mathematicians. This introduction is designed for graduate students who have some knowledge of finite groups and general topology, but is otherwise self-contained. The author gives direct and concise proofs of all results yet avoids the heavy machinery of functional analysis. Moreover, representative examples are treated in some detail.

Double Affine Hecke Algebras

Author: Ivan Cherednik
Publisher: Cambridge University Press
ISBN: 0521609186
Size: 69.53 MB
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This is an essentially self-contained monograph centered on the new double Hecke algebra technique.

Lectures On Invariant Theory

Author: Igor Dolgachev
Publisher: Cambridge University Press
ISBN: 9780521525480
Size: 25.81 MB
Format: PDF
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The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.