Integrable Systems and Quantum Groups PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Integrable Systems and Quantum Groups PDF full book. Access full book title Integrable Systems and Quantum Groups by Ron Donagi. Download full books in PDF and EPUB format.
Author: Ron Donagi
Publisher: Springer
ISBN: 3540477063
Category : Mathematics
Languages : en
Pages : 496
Get Book Here
Book Description
The aim of this CIME Session was to review the state of the art in the recent development of the theory of integrable systems and their relations with quantum groups. The purpose was to gather geometers and mathematical physicists to allow a broader and more complete view of these attractive and rapidly developing fields. The papers contained in this volume have at the same time the character of survey articles and of research papers, since they contain both a survey of current problems and a number of original contributions to the subject.
Author: Ron Donagi
Publisher: Springer
ISBN: 3540477063
Category : Mathematics
Languages : en
Pages : 496
Get Book Here
Book Description
The aim of this CIME Session was to review the state of the art in the recent development of the theory of integrable systems and their relations with quantum groups. The purpose was to gather geometers and mathematical physicists to allow a broader and more complete view of these attractive and rapidly developing fields. The papers contained in this volume have at the same time the character of survey articles and of research papers, since they contain both a survey of current problems and a number of original contributions to the subject.
Author: Boris Feigin
Publisher: World Scientific
ISBN: 9814462926
Category : Mathematics
Languages : en
Pages : 517
Get Book Here
Book Description
The present volume is the result of the international workshop on New Trends in Quantum Integrable Systems that was held in Kyoto, Japan, from 27 to 31 July 2009. As a continuation of the RIMS Research Project “Method of Algebraic Analysis in Integrable Systems” in 2004, the workshop's aim was to cover exciting new developments that have emerged during the recent years.Collected here are research articles based on the talks presented at the workshop, including the latest results obtained thereafter. The subjects discussed range across diverse areas such as correlation functions of solvable models, integrable models in quantum field theory, conformal field theory, mathematical aspects of Bethe ansatz, special functions and integrable differential/difference equations, representation theory of infinite dimensional algebras, integrable models and combinatorics.Through these topics, the reader can learn about the most recent developments in the field of quantum integrable systems and related areas of mathematical physics.
Author: Fabio Franchini
Publisher: Springer
ISBN: 3319484877
Category : Science
Languages : en
Pages : 186
Get Book Here
Book Description
This book introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems. In a pedagogical way, a few examples of exactly solvable models are worked out to go from the coordinate approach to the Algebraic Bethe Ansatz, with some discussion on the finite temperature thermodynamics. The aim is to provide the instruments to approach more advanced books or to allow for a critical reading of research articles and the extraction of useful information from them. We describe the solution of the anisotropic XY spin chain; of the Lieb-Liniger model of bosons with contact interaction at zero and finite temperature; and of the XXZ spin chain, first in the coordinate and then in the algebraic approach. To establish the connection between the latter and the solution of two dimensional classical models, we also introduce and solve the 6-vertex model. Finally, the low energy physics of these integrable models is mapped into the corresponding conformal field theory. Through its style and the choice of topics, this book tries to touch all fundamental ideas behind integrability and is meant for students and researchers interested either in an introduction to later delve in the advance aspects of Bethe Ansatz or in an overview of the topic for broadening their culture.
Author: Mo-lin Ge
Publisher: World Scientific
ISBN: 9814555835
Category :
Languages : en
Pages : 242
Get Book Here
Book Description
This volume contains the lectures given by the three speakers, M Jimbo, P P Kulish and E K Sklyanin, who are outstanding experts in their field. It is essential reading to those working in the fields of Quantum Groups, and Integrable Systems.
Author: Cisar Gómez
Publisher: Cambridge University Press
ISBN: 0521460654
Category : Mathematics
Languages : en
Pages : 477
Get Book Here
Book Description
A 1996 introduction to integrability and conformal field theory in two dimensions using quantum groups.
Author: Pavel I. Etingof
Publisher:
ISBN: 9781571462077
Category : Mathematical physics
Languages : en
Pages : 242
Get Book Here
Book Description
Author: Anatoli Klimyk
Publisher: Springer Science & Business Media
ISBN: 3642608965
Category : Science
Languages : en
Pages : 568
Get Book Here
Book Description
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: Kenji Iohara
Publisher: Springer Science & Business Media
ISBN: 1447148630
Category : Mathematics
Languages : en
Pages : 633
Get Book Here
Book Description
This volume is the result of two international workshops; Infinite Analysis 11 – Frontier of Integrability – held at University of Tokyo, Japan in July 25th to 29th, 2011, and Symmetries, Integrable Systems and Representations held at Université Claude Bernard Lyon 1, France in December 13th to 16th, 2011. Included are research articles based on the talks presented at the workshops, latest results obtained thereafter, and some review articles. The subjects discussed range across diverse areas such as algebraic geometry, combinatorics, differential equations, integrable systems, representation theory, solvable lattice models and special functions. Through these topics, the reader will find some recent developments in the field of mathematical physics and their interactions with several other domains.
Author: Pavel I. Etingof
Publisher: Oxford University Press, USA
ISBN: 0198530684
Category : Mathematics
Languages : en
Pages : 151
Get Book Here
Book Description
The text is based on an established graduate course given at MIT that provides an introduction to the theory of the dynamical Yang-Baxter equation and its applications, which is an important area in representation theory and quantum groups. The book, which contains many detailed proofs and explicit calculations, will be accessible to graduate students of mathematics, who are familiar with the basics of representation theory of semisimple Lie algebras.
Author: Shahn Majid
Publisher: Cambridge University Press
ISBN: 9780521648684
Category : Group theory
Languages : en
Pages : 668
Get Book Here
Book Description
A graduate level text which systematically lays out the foundations of Quantum Groups.
