A Guide to Quantum Groups, Vyjayanthi Chari

Автор: Watrous, John (university Of Waterloo, Ontario)
Название: The theory of quantum information
ISBN: 1107180562 ISBN-13(EAN): 9781107180567
Издательство: Cambridge Academ
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Цена: 77090.00 T
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Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.

Автор: L.A. Lambe; D.E. Radford
Название: Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach
ISBN: 0792347218 ISBN-13(EAN): 9780792347217
Издательство: Springer
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Цена: 102480.00 T
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Описание: The quantum Yang-Baxter equation is an important equation to solve for applications in physics and topology. This book considers the equation in the context of algebraic systems and as a problem for computer algebra. It presents an account of the theoretical foundations of solving the equation.

Автор: J?rg Fr?hlich; Thomas Kerler
Название: Quantum Groups, Quantum Categories and Quantum Field Theory
ISBN: 3540566236 ISBN-13(EAN): 9783540566236
Издательство: Springer
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Цена: 65210.00 T
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Описание: Reviews recent results in low-dimensional quantum field theories and their connection with quantum group theory and the theory of braided, balanced tensor categories. It presents detailed, mathematically precise introductions to these subjects and then continues with new results.

Автор: Alberto Ibort; M.A. Rodr?guez
Название: Integrable Systems, Quantum Groups, and Quantum Field Theories
ISBN: 9401048746 ISBN-13(EAN): 9789401048743
Издательство: Springer
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Цена: 46570.00 T
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Описание: Proceedings of the NATO Advanced Study Institute and XXIII GIFT International Seminar on `Recent Problems in Mathematical Physics`, Salamanca, Spain, June 15-27, 1992

Автор: Peter Woit
Название: Quantum Theory, Groups and Representations
ISBN: 3319646109 ISBN-13(EAN): 9783319646107
Издательство: Springer
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Цена: 74530.00 T
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Описание: 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.

Автор: Hannabuss, Keith (billmeir Fellow And Tutor In Mat
Название: Introduction to quantum theory
ISBN: 0198537948 ISBN-13(EAN): 9780198537946
Издательство: Oxford Academ
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Цена: 129360.00 T
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Описание: This book provides an introduction to quantum theory primarily for mathematics students, and is based on the sort of material usually covered in the first two years of undergraduate algebra. It includes more mathematical detail than is common in introductory books at this level and covers some more advanced topics.

Автор: Pietro Giuseppe Fre, Alexander Fedotov
Название: Groups and Manifolds: Lectures for Physicists with Examples in Mathematica
ISBN: 3110551195 ISBN-13(EAN): 9783110551198
Издательство: Walter de Gruyter
Цена: 99110.00 T
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Описание: Groups and Manifolds is an introductory, yet a complete self-contained course on mathematics of symmetry: group theory and differential geometry of symmetric spaces, with a variety of examples for physicists, touching briefly also on super-symmetric field theories. The core of the course is focused on the construction of simple Lie algebras, emphasizing the double interpretation of the ADE classification as applied to finite rotation groups and to simply laced simple Lie algebras. Unique features of this book are the full-fledged treatment of the exceptional Lie algebras and a rich collection of MATHEMATICA Notebooks implementing various group theoretical constructions.

Название: Hopf Algebras, Quantum Groups and Yang-Baxter Equations
ISBN: 3038973246 ISBN-13(EAN): 9783038973249
Издательство: Неизвестно
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Цена: 62680.00 T
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Описание:

The Yang-Baxter equation first appeared in theoretical physics, in a paper by the Nobel laureate C.N. Yang and in the work of R.J. Baxter in the field of Statistical Mechanics. At the 1990 International Mathematics Congress, Vladimir Drinfeld, Vaughan F. R. Jones, and Edward Witten were awarded Fields Medals for their work related to the Yang-Baxter equation. It turned out that this equation is one of the basic equations in mathematical physics; more precisely, it is used for introducing the theory of quantum groups. It also plays a crucial role in: knot theory, braided categories, the analysis of integrable systems, non-commutative descent theory, quantum computing, non-commutative geometry, etc. Many scientists have used the axioms of various algebraic structures (quasi-triangular Hopf algebras, Yetter-Drinfeld categories, quandles, group actions, Lie (super)algebras, brace structures, (co)algebra structures, Jordan triples, Boolean algebras, relations on sets, etc.) or computer calculations (and Grobner bases) in order to produce solutions for the Yang-Baxter equation. However, the full classification of its solutions remains an open problem. At present, the study of solutions of the Yang-Baxter equation attracts the attention of a broad circle of scientists. The current volume highlights various aspects of the Yang-Baxter equation, related algebraic structures, and applications.

Автор: Naihuan Jing, Kailash C. Misra
Название: Representations of Lie Algebras, Quantum Groups and Related Topics
ISBN: 1470436965 ISBN-13(EAN): 9781470436964
Издательство: Mare Nostrum (Eurospan)
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Цена: 116430.00 T
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Описание: Contains the proceedings of the AMS Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics, held in November 2016. The articles cover various aspects of representations of Kac-Moody Lie algebras and their applications, structure of Leibniz algebras and Krichever-Novikov algebras, and related topics.