Quantum Groups And Lie Theory PDF Download
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Author | : Peter Woit |
Publisher | : Springer |
Total Pages | : 659 |
Release | : 2017-11-01 |
Genre | : Science |
ISBN | : 3319646125 |
Download Quantum Theory, Groups and Representations Book in PDF, ePub and Kindle
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 | : George Lusztig |
Publisher | : Springer Science & Business Media |
Total Pages | : 361 |
Release | : 2010-10-27 |
Genre | : Mathematics |
ISBN | : 0817647171 |
Download Introduction to Quantum Groups Book in PDF, ePub and Kindle
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 | : Andrew Pressley |
Publisher | : Cambridge University Press |
Total Pages | : 246 |
Release | : 2002-01-17 |
Genre | : Mathematics |
ISBN | : 9781139437028 |
Download Quantum Groups and Lie Theory Book in PDF, ePub and Kindle
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 | : Jürgen Fuchs |
Publisher | : Cambridge University Press |
Total Pages | : 452 |
Release | : 1995-03-09 |
Genre | : Mathematics |
ISBN | : 9780521484121 |
Download Affine Lie Algebras and Quantum Groups Book in PDF, ePub and Kindle
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 | : Toshiaki Shoji |
Publisher | : American Mathematical Society(RI) |
Total Pages | : 514 |
Release | : 2004 |
Genre | : Computers |
ISBN | : |
Download Representation Theory of Algebraic Groups and Quantum Groups Book in PDF, ePub and Kindle
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 | : Ken Brown |
Publisher | : Birkhäuser |
Total Pages | : 339 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 303488205X |
Download Lectures on Algebraic Quantum Groups Book in PDF, ePub and Kindle
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 | : Hermann Weyl |
Publisher | : Courier Corporation |
Total Pages | : 468 |
Release | : 1950-01-01 |
Genre | : Mathematics |
ISBN | : 9780486602691 |
Download The Theory of Groups and Quantum Mechanics Book in PDF, ePub and Kindle
This landmark among mathematics texts applies group theory to quantum mechanics, first covering unitary geometry, quantum theory, groups and their representations, then applications themselves — rotation, Lorentz, permutation groups, symmetric permutation groups, and the algebra of symmetric transformations.
Author | : Shahn Majid |
Publisher | : Cambridge University Press |
Total Pages | : 668 |
Release | : 2000 |
Genre | : Group theory |
ISBN | : 9780521648684 |
Download Foundations of Quantum Group Theory Book in PDF, ePub and Kindle
A graduate level text which systematically lays out the foundations of Quantum Groups.
Author | : Christian Kassel |
Publisher | : Springer Science & Business Media |
Total Pages | : 540 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461207835 |
Download Quantum Groups Book in PDF, ePub and Kindle
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 | : Leonid I. Korogodski |
Publisher | : American Mathematical Soc. |
Total Pages | : 162 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : 0821803360 |
Download Algebras of Functions on Quantum Groups: Part I Book in PDF, ePub and Kindle
The text is devoted to the study of algebras of functions on quantum groups. The book includes the theory of Poisson-Lie algebras (quasi-classical version of algebras of functions on quantum groups), a description of representations of algebras of functions and the theory of quantum Weyl groups. It can serve as a text for an introduction to the theory of quantum groups and is intended for graduate students and research mathematicians working in algebra, representation theory and mathematical physics.