eBook PDF Download Digital Library
Author: Jürgen Fuchs
Publisher: Cambridge University Press
Published: 1995-03-09
Total Pages: 452
ISBN-13: 9780521484121
DOWNLOAD EBOOK →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.
Author: George Lusztig
Publisher: Springer Science & Business Media
Published: 2010-10-27
Total Pages: 361
ISBN-13: 0817647171
DOWNLOAD EBOOK →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.
Author: Peter Woit
Publisher: Springer
Published: 2017-11-01
Total Pages: 668
ISBN-13: 3319646125
DOWNLOAD EBOOK →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.
Author: Andrew Pressley
Publisher: Cambridge University Press
Published: 2002-01-17
Total Pages: 246
ISBN-13: 9781139437028
DOWNLOAD EBOOK →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.
Author: Toshiaki Shoji
Publisher: American Mathematical Society(RI)
Published: 2004
Total Pages: 514
ISBN-13:
DOWNLOAD EBOOK →A collection of research and survey papers written by speakers at the Mathematical Society of Japan's 10th International Conference. This title presents an overview of developments in representation theory of algebraic groups and quantum groups. It includes papers containing results concerning Lusztig's conjecture on cells in affine Weyl groups.
Author: Shahn Majid
Publisher: Cambridge University Press
Published: 2000
Total Pages: 668
ISBN-13: 9780521648684
DOWNLOAD EBOOK →A graduate level text which systematically lays out the foundations of Quantum Groups.
Author: Christian Kassel
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 540
ISBN-13: 1461207835
DOWNLOAD EBOOK →Here is an introduction to the theory of quantum groups with emphasis on the spectacular connections with knot theory and Drinfeld's recent fundamental contributions. It presents the quantum groups attached to SL2 as well as the basic concepts of the theory of Hopf algebras. Coverage also focuses on Hopf algebras that produce solutions of the Yang-Baxter equation and provides an account of Drinfeld's elegant treatment of the monodromy of the Knizhnik-Zamolodchikov equations.
Author: Ken Brown
Publisher: Birkhäuser
Published: 2012-12-06
Total Pages: 339
ISBN-13: 303488205X
DOWNLOAD EBOOK →This book consists of an expanded set of lectures on algebraic aspects of quantum groups. It particularly concentrates on quantized coordinate rings of algebraic groups and spaces and on quantized enveloping algebras of semisimple Lie algebras. Large parts of the material are developed in full textbook style, featuring many examples and numerous exercises; other portions are discussed with sketches of proofs, while still other material is quoted without proof.
Author: Anatoli Klimyk
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 568
ISBN-13: 3642608965
DOWNLOAD EBOOK →This book start with an introduction to quantum groups for the beginner and continues as a textbook for graduate students in physics and in mathematics. It can also be used as a reference by more advanced readers. The authors cover a large but well-chosen variety of subjects from the theory of quantum groups (quantized universal enveloping algebras, quantized algebras of functions) and q-deformed algebras (q-oscillator algebras), their representations and corepresentations, and noncommutative differential calculus. The book is written with potential applications in physics and mathematics in mind. The basic quantum groups and quantum algebras and their representations are given in detail and accompanied by explicit formulas. A number of topics and results from the more advanced general theory are developed and discussed.
Author: D. J. Simms
Publisher: Springer
Published: 2006-11-15
Total Pages: 98
ISBN-13: 3540358293
DOWNLOAD EBOOK →