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Nankai Lectures on Mathematical Physics
INTRODUCTION TO QUANTUM GROUP AND INTEGRABLE MASSIVE MODELS OF QUANTUM FIELD THEORY
Nankai Inst. of Mathematics, China 4 - 18 May 1989
edited by Mo-Lin Ge (Nankai) & Bao-Heng Zhao (Beijing)
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 Models
- Space of States. Form Factors. A Set of Axioms for Form Factors
- Local Commutativity and Asymptotic Conditions
- Form Factors in SU(2)-Invariant Thirring Model
- Necessary Properties of the Currents Form Factors in SU(2)-Invariant Thirring Model
- Properties of Currents in SU(2)-Invariant Thirring Model
- Lectures on Quantum Groups (L A Takhtajan):
- Historical Introduction. Algebraic Background
- Poisson-Lie Groups, CYBE and Modified CYBE. Connection with ISM. Lie-Algebraic Meaning of CYBE and Modified CYBE
- Quantization Procedure as a Deformation of the Algebra of Classical Observables
- Weyl Quantization. Quantization of Poisson-Lie Groups Associated with CYBE
- QYBE
- Quantization 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 Forms
- Quantization of the Universal Enveloping Algebras of the Simple Lie Algebras. Elements of the Representations Theory
Readership: Mathematical physicists.
| 208pp |
Pub. date: Sept 1990 |
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