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Quantum Groups and Lie Theory

2002-01-17 Mathematics
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Release : 2002-01-17
Genre : Mathematics
Kind : eBook
Book Rating : 028/5 ( reviews)

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Book Synopsis Quantum Groups and Lie Theory by : Andrew Pressley

Download or read book Quantum Groups and Lie Theory written by Andrew Pressley. This book was released on 2002-01-17. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises an overview of the material presented at the 1999 Durham Symposium on Quantum Groups and includes contributions from many of the world's leading figures in this area. It will be of interest to researchers and will also be useful as a reference text for graduate courses.

Introduction to Quantum Groups

2010-10-27 Mathematics
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Release : 2010-10-27
Genre : Mathematics
Kind : eBook
Book Rating : 171/5 ( reviews)

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Book Synopsis Introduction to Quantum Groups by : George Lusztig

Download or read book Introduction to Quantum Groups written by George Lusztig. This book was released on 2010-10-27. Available in PDF, EPUB and Kindle. Book excerpt: The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo in 1985, or variations thereof. The theory of quantum groups has led to a new, extremely rigid structure, in which the objects of the theory are provided with canonical basis with rather remarkable properties. This book will be of interest to mathematicians working in the representation theory of Lie groups and Lie algebras, knot theorists and to theoretical physicists and graduate students. Since large parts of the book are independent of the theory of perverse sheaves, the book could also be used as a text book.

Affine Lie Algebras and Quantum Groups

1995-03-09 Mathematics
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Release : 1995-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 121/5 ( reviews)

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Book Synopsis Affine Lie Algebras and Quantum Groups by : Jürgen Fuchs

Download or read book Affine Lie Algebras and Quantum Groups written by Jürgen Fuchs. This book was released on 1995-03-09. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to the theory of affine Lie Algebras, to the theory of quantum groups, and to the interrelationships between these two fields that are encountered in conformal field theory.

Quantum Theory, Groups and Representations

2017-11-01 Science
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Release : 2017-11-01
Genre : Science
Kind : eBook
Book Rating : 125/5 ( reviews)

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Book Synopsis Quantum Theory, Groups and Representations by : Peter Woit

Download or read book Quantum Theory, Groups and Representations written by Peter Woit. This book was released on 2017-11-01. Available in PDF, EPUB and Kindle. Book excerpt: This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory. The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject. This text showcases the numerous differences between typical mathematical and physical treatments of the subject. The latter portions of the book focus on central mathematical objects that occur in the Standard Model of particle physics, underlining the deep and intimate connections between mathematics and the physical world. While an elementary physics course of some kind would be helpful to the reader, no specific background in physics is assumed, making this book accessible to students with a grounding in multivariable calculus and linear algebra. Many exercises are provided to develop the reader's understanding of and facility in quantum-theoretical concepts and calculations.

Foundations of Quantum Group Theory

2000 Group theory
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Release : 2000
Genre : Group theory
Kind : eBook
Book Rating : 684/5 ( reviews)

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Book Synopsis Foundations of Quantum Group Theory by : Shahn Majid

Download or read book Foundations of Quantum Group Theory written by Shahn Majid. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: A graduate level text which systematically lays out the foundations of Quantum Groups.

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