Integrable Systems And Quantum Groups
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Integrable Systems And Quantum Groups
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Author : Mauro Carfora
language : en
Publisher: World Scientific
Release Date : 1992-04-30
Integrable Systems And Quantum Groups written by Mauro Carfora and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-04-30 with categories.
This volume contains lectures on recent advances in the theory of integrable systems and quantum groups. It introduces the reader to attractive areas of current research.
Integrable Systems Quantum Groups And Quantum Field Theories
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Author : Alberto Ibort
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Integrable Systems Quantum Groups And Quantum Field Theories written by Alberto Ibort and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
In many ways the last decade has witnessed a surge of interest in the interplay between theoretical physics and some traditional areas of pure mathematics. This book contains the lectures delivered at the NATO-ASI Summer School on `Recent Problems in Mathematical Physics' held at Salamanca, Spain (1992), offering a pedagogical and updated approach to some of the problems that have been at the heart of these events. Among them, we should mention the new mathematical structures related to integrability and quantum field theories, such as quantum groups, conformal field theories, integrable statistical models, and topological quantum field theories, that are discussed at length by some of the leading experts on the areas in several of the lectures contained in the book. Apart from these, traditional and new problems in quantum gravity are reviewed. Other contributions to the School included in the book range from symmetries in partial differential equations to geometrical phases in quantum physics. The book is addressed to researchers in the fields covered, PhD students and any scientist interested in obtaining an updated view of the subjects.
Quantum Group And Quantum Integrable Systems Nankai Lectures On Mathematical Physics
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Author : Mo-lin Ge
language : en
Publisher: World Scientific
Release Date : 1992-05-30
Quantum Group And Quantum Integrable Systems Nankai Lectures On Mathematical Physics written by Mo-lin Ge and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-05-30 with categories.
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.
Integrable Systems And Quantum Groups
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Author : Ron Donagi
language : en
Publisher: Springer
Release Date : 2006-11-14
Integrable Systems And Quantum Groups written by Ron Donagi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
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.
Quantum Groups Integrable Models And Statistiacal Systems
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Author : Jean Letourneux
language : en
Publisher: World Scientific
Release Date : 1993-12-22
Quantum Groups Integrable Models And Statistiacal Systems written by Jean Letourneux and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-12-22 with categories.
This volume contains the lectures presented at the workshop on “Quantum Groups, Integrable Models and Statistical Systems”. The papers give either a full exposition of original results or a review of fundamental aspects of this most active research area.
Integrable Systems And Quantum Groups
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Author : Ron Donagi
language : en
Publisher: Springer
Release Date : 1995-11-01
Integrable Systems And Quantum Groups written by Ron Donagi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-11-01 with Mathematics categories.
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.
Integrable Systems And Quantum Groups
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Author : Mauro Carfora
language : en
Publisher:
Release Date : 1992
Integrable Systems And Quantum Groups written by Mauro Carfora and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematical physics categories.
Quantum Groups In Three Dimensional Integrability
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Author : Atsuo Kuniba
language : en
Publisher: Springer Nature
Release Date : 2022-09-25
Quantum Groups In Three Dimensional Integrability written by Atsuo Kuniba and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-25 with Science categories.
Quantum groups have been studied intensively in mathematics and have found many valuable applications in theoretical and mathematical physics since their discovery in the mid-1980s. Roughly speaking, there are two prototype examples of quantum groups, denoted by Uq and Aq. The former is a deformation of the universal enveloping algebra of a Kac–Moody Lie algebra, whereas the latter is a deformation of the coordinate ring of a Lie group. Although they are dual to each other in principle, most of the applications so far are based on Uq, and the main targets are solvable lattice models in 2-dimensions or quantum field theories in 1+1 dimensions. This book aims to present a unique approach to 3-dimensional integrability based on Aq. It starts from the tetrahedron equation, a 3-dimensional analogue of the Yang–Baxter equation, and its solution due to work by Kapranov–Voevodsky (1994). Then, it guides readers to its variety of generalizations, relations to quantum groups, and applications. They include a connection to the Poincaré–Birkhoff–Witt basis of a unipotent part of Uq, reductions to the solutions of the Yang–Baxter equation, reflection equation, G2 reflection equation, matrix product constructions of quantum R matrices and reflection K matrices, stationary measures of multi-species simple-exclusion processes, etc. These contents of the book are quite distinct from conventional approaches and will stimulate and enrich the theories of quantum groups and integrable systems.
Quantum Groups
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Author : Benjamin Enriquez
language : en
Publisher: European Mathematical Society
Release Date : 2008
Quantum Groups written by Benjamin Enriquez and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
The volume starts with a lecture course by P. Etingof on tensor categories (notes by D. Calaque). This course is an introduction to tensor categories, leading to topics of recent research such as realizability of fusion rings, Ocneanu rigidity, module categories, weak Hopf algebras, Morita theory for tensor categories, lifting theory, categorical dimensions, Frobenius-Perron dimensions, and the classification of tensor categories. The remainder of the book consists of three detailed expositions on associators and the Vassiliev invariants of knots, classical and quantum integrable systems and elliptic algebras, and the groups of algebra automorphisms of quantum groups. The preface puts the results presented in perspective. Directed at research mathematicians and theoretical physicists as well as graduate students, the volume gives an overview of the ongoing research in the domain of quantum groups, an important subject of current mathematical physics.
Integrable Systems In Quantum Field Theory And Statistical Mechanics
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Author : M. Jimbo
language : en
Publisher: Elsevier
Release Date : 2014-05-19
Integrable Systems In Quantum Field Theory And Statistical Mechanics written by M. Jimbo and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-19 with Science categories.
Integrable Sys Quantum Field Theory