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Author: Jean Letourneux
Publisher: World Scientific
Published: 1993-12-22
Total Pages: 302
ISBN-13: 9814552410
DOWNLOAD EBOOK →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.
Author: Alberto Ibort
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 508
ISBN-13: 9401119805
DOWNLOAD EBOOK →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.
Author: Mauro Carfora
Publisher: World Scientific
Published: 1992-04-30
Total Pages: 194
ISBN-13: 9814554766
DOWNLOAD EBOOK →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.
Author: Jean LeTourneux
Publisher: World Scientific Publishing Company Incorporated
Published: 1993-01-01
Total Pages: 290
ISBN-13: 9789810215552
DOWNLOAD EBOOK →Author: M. Jimbo
Publisher: Elsevier
Published: 2014-05-19
Total Pages: 695
ISBN-13: 1483295257
DOWNLOAD EBOOK →Integrable Sys Quantum Field Theory
Author: S.D. Chatterji
Publisher: Birkhäuser
Published: 2012-12-06
Total Pages: 1669
ISBN-13: 3034890788
DOWNLOAD EBOOK →Since the first ICM was held in Zürich in 1897, it has become the pinnacle of mathematical gatherings. It aims at giving an overview of the current state of different branches of mathematics and its applications as well as an insight into the treatment of special problems of exceptional importance. The proceedings of the ICMs have provided a rich chronology of mathematical development in all its branches and a unique documentation of contemporary research. They form an indispensable part of every mathematical library. The Proceedings of the International Congress of Mathematicians 1994, held in Zürich from August 3rd to 11th, 1994, are published in two volumes. Volume I contains an account of the organization of the Congress, the list of ordinary members, the reports on the work of the Fields Medalists and the Nevanlinna Prize Winner, the plenary one-hour addresses, and the invited addresses presented at Section Meetings 1 - 6. Volume II contains the invited address for Section Meetings 7 - 19. A complete author index is included in both volumes. '...the content of these impressive two volumes sheds a certain light on the present state of mathematical sciences and anybody doing research in mathematics should look carefully at these Proceedings. For young people beginning research, this is even more important, so these are a must for any serious mathematics library. The graphical presentation is, as always with Birkhäuser, excellent....' (Revue Roumaine de Mathematiques pures et Appliquées)
Author: Mo-lin Ge
Publisher: World Scientific
Published: 1995-05-31
Total Pages: 186
ISBN-13: 9814549754
DOWNLOAD EBOOK →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: Mo-lin Ge
Publisher: World Scientific
Published: 1992-05-30
Total Pages: 242
ISBN-13: 9814555835
DOWNLOAD EBOOK →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: Héctor J. Vega
Publisher: World Scientific Publishing Company Incorporated
Published: 1993
Total Pages: 342
ISBN-13: 9789810214746
DOWNLOAD EBOOK →Author: Mo-Lin Ge
Publisher: World Scientific
Published: 1990-09-24
Total Pages: 208
ISBN-13: 9814551198
DOWNLOAD EBOOK →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:
