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Quantum Group And Quantum Integrable Systems Nankai Lectures On Mathematical Physics
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Book Synopsis Quantum Group And Quantum Integrable Systems - Nankai Lectures On Mathematical Physics by : Mo-lin Ge
Download or read book Quantum Group And Quantum Integrable Systems - Nankai Lectures On Mathematical Physics written by Mo-lin Ge and published by World Scientific. This book was released on 1992-05-30 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :M. L. Ge Publisher :World Scientific Publishing Company Incorporated ISBN 13 :9789810207458 Total Pages :240 pages Book Rating :4.2/5 (74 download)
Book Synopsis Quantum Group and Quantum Integrable Systems by : M. L. Ge
Download or read book Quantum Group and Quantum Integrable Systems written by M. L. Ge and published by World Scientific Publishing Company Incorporated. This book was released on 1992 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to Quantum Group and Integrable Massive Models of Quantum Field Theory by : Mo-Lin Ge
Download or read book Introduction to Quantum Group and Integrable Massive Models of Quantum Field Theory written by Mo-Lin Ge and published by World Scientific. This book was released on 1990-09-24 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings consists of 6 lectures each from Prof L Takhtajan and Prof F Smirnov which were presented during the workshop. Contents:Lectures on Integrable Massive Models of Quantum Field Theory (F A Smirnov):General Problems of the Quantum Field Theory. Completely Integrable ModelsSpace of States. Form Factors. A Set of Axioms for Form FactorsLocal Commutativity and Asymptotic ConditionsForm Factors in SU(2)-Invariant Thirring ModelNecessary Properties of the Currents Form Factors in SU(2)-Invariant Thirring ModelProperties of Currents in SU(2)-Invariant Thirring ModelLectures on Quantum Groups (L A Takhtajan):Historical Introduction. Algebraic BackgroundPoisson-Lie Groups, CYBE and Modified CYBE. Connection with ISM. Lie-Algebraic Meaning of CYBE and Modified CYBEQuantization Procedure as a Deformation of the Algebra of Classical ObservablesWeyl Quantization. Quantization of Poisson-Lie Groups Associated with CYBEQYBEQuantization of Poisson-Lie Groups Associated with Modified CYBE. Quantum Matrix Algebras. Quantum Determinant and Quantum Groups SL(n) and GL (n)Quantum Vector Spaces for the Quantum Groups SLq(n), GLq(n) and their Real Forms. Quantum Groups Oq(N), SPq(n), Quantum Vector Spaces Associated with them and their Real FormsQuantization of the Universal Enveloping Algebras of the Simple Lie Algebras. Elements of the Representations Theory Readership: Mathematical physicists. keywords:
Book Synopsis Introduction to Quantum Group and Integrable Massive Models of Quantum Field Theory by : Mo-Lin Ge
Download or read book Introduction to Quantum Group and Integrable Massive Models of Quantum Field Theory written by Mo-Lin Ge and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Groups, Integrable Statistical Models And Knot Theory - The Fifth Nankai Workshop by : Mo-lin Ge
Download or read book Quantum Groups, Integrable Statistical Models And Knot Theory - The Fifth Nankai Workshop written by Mo-lin Ge and published by World Scientific. This book was released on 1993-06-30 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lectures in this volume discuss topics in statistical mechanics, the geometric and algebraic approaches to q-deformation theories, two-dimensional gravity and related problems of mathematical physics, including Vassiliev invariants and the Jones polynomials, the R-matrix with Z-symmetry, reflection equations and quantum algebra, W-geometry, braid linear algebra, holomorphic q-difference systems and q-Poincaré algebra.
Book Synopsis New Developments Of Integrable Systems And Long-ranged Interaction Models by : Mo-lin Ge
Download or read book New Developments Of Integrable Systems And Long-ranged Interaction Models written by Mo-lin Ge and published by World Scientific. This book was released on 1995-05-31 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers the recent developments of the exact solvable models, Yangian symmetry, the long-ranged interaction models and high-dimensional integrable systems. The authors are all experts in their fields. The volume provides a systematic introduction to statistical and mathematical physics and contains review papers and other contributions.
Author :Héctor J. Vega Publisher :World Scientific Publishing Company Incorporated ISBN 13 :9789810214746 Total Pages :342 pages Book Rating :4.2/5 (147 download)
Book Synopsis Quantum Groups, Integrable Statistical Models and Knot Theory by : Héctor J. Vega
Download or read book Quantum Groups, Integrable Statistical Models and Knot Theory written by Héctor J. Vega and published by World Scientific Publishing Company Incorporated. This book was released on 1993 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Integrable Systems And Quantum Groups by : Mauro Carfora
Download or read book Integrable Systems And Quantum Groups written by Mauro Carfora and published by World Scientific. This book was released on 1992-04-30 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quantum Group and Quantum Integrable Systems by : Mo-Lin Ge
Download or read book Quantum Group and Quantum Integrable Systems written by Mo-Lin Ge and published by . This book was released on 1992 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Groups in Three-Dimensional Integrability by : Atsuo Kuniba
Download or read book Quantum Groups in Three-Dimensional Integrability written by Atsuo Kuniba and published by Springer Nature. This book was released on 2022-09-25 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Lectures on Quantum Groups by : Jens Carsten Jantzen
Download or read book Lectures on Quantum Groups written by Jens Carsten Jantzen and published by American Mathematical Soc.. This book was released on with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with the quantum analog of sl2, the author carefully leads the reader through all the details necessary for full understanding of the subject, particularly emphasizing similarities and differences with the classical theory. The final chapters of the book describe the Kashiwara-Lusztig theory of so-called crystal (or canonical) bases in representations of complex semisimple Lie algebra.
Book Synopsis Lectures on Quantum Groups by : Pavel I. Etingof
Download or read book Lectures on Quantum Groups written by Pavel I. Etingof and published by . This book was released on 2002 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on lectures given at Harvard University in 1997, this book is an introduction to the theory of quantum groups and its development between 1982 and 1997. Topics covered include: relevant quasiclassical objects; bialgebras; Hopf algebras; and lie associators.
Download or read book Integrable Systems written by X C Song and published by World Scientific. This book was released on 1989-11-01 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This workshop is part of a series of annual workshops organised by the Nankai Institute of Mathematics. Prominent scientists from abroad are invited to deliver the main lectures. Contents:Speeches:On the Relation between Mathematics and Physics (L D Faddeev)Journey through Statistical Mechanics (C N Yang)Invited Lectures:Quantum Inverse Scattering Method (L D Faddeev)Geometrical Integrability and Equations of Motion in Physics: A Unifying View (Ling-Lie Chau)and 10 contributed papers Readership: Mathematical and theoretical physicists.
Book Synopsis Integrable Systems and Quantum Groups by : Ron Donagi
Download or read book Integrable Systems and Quantum Groups written by Ron Donagi and published by Springer. This book was released on 2014-03-12 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quantum Groups by : Vladimir K. Dobrev
Download or read book Quantum Groups written by Vladimir K. Dobrev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-07-10 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: With applications in quantum field theory, general relativity and elementary particle physics, this three-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main manifestations: quantum algebras and matrix quantum groups. The exposition covers both the general aspects of these and a great variety of concrete explicitly presented examples. The invariant q-difference operators are introduced mainly using representations of quantum algebras on their dual matrix quantum groups as carrier spaces. This is the first book that covers the title matter applied to quantum groups. Contents Quantum Groups and Quantum Algebras Highest-Weight Modules over Quantum Algebras Positive-Energy Representations of Noncompact Quantum Algebras Duality for Quantum Groups Invariant q-Difference Operators Invariant q-Difference Operators Related to GLq(n) q-Maxwell Equations Hierarchies
Book Synopsis Differential Geometric Methods In Theoretical Physics - Proceedings Of The Xxi International Conference by : Chen Ning Yang
Download or read book Differential Geometric Methods In Theoretical Physics - Proceedings Of The Xxi International Conference written by Chen Ning Yang and published by World Scientific. This book was released on 1993-07-31 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains intense studies on Quantum Groups, Knot Theory, Statistical Mechanics, Conformal Field Theory, Differential Geometry and Differential Equation Methods and so on. It has contributions by renowned experts and covers most of the recent developments in these fields.
Book Synopsis Representations of Algebras and Related Topics by : Andrzej Skowroński
Download or read book Representations of Algebras and Related Topics written by Andrzej Skowroński and published by European Mathematical Society. This book was released on 2011 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, which explores recent trends in the representation theory of algebras and its exciting interaction with geometry, topology, commutative algebra, Lie algebras, combinatorics, quantum algebras, and theoretical field, is conceived as a handbook to provide easy access to the present state of knowledge and stimulate further development. The many topics discussed include quivers, quivers with potential, bound quiver algebras, Jacobian algebras, cluster algebras and categories, Calabi-Yau algebras and categories, triangulated and derived categories, and quantum loop algebras. This book consists of thirteen self-contained expository survey and research articles and is addressed to researchers and graduate students in algebra as well as a broader mathematical community. The articles contain a large number of examples and open problems and give new perspectives for research in the field.
