Introduction to quantum groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
©1996
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| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 |
| Beschreibung: | Includes bibliographical references (pages 323-337) and index 1 - Mathematical Aspects of Quantum Group Theory and Non-Commutative Geometry -- - 2 - q-Deformation of Harmonic Oscillators, Quantum Symmetry and All That -- - 3 - q-Deformation of Space-Time Symmetries -- - 4 - Non-commutative Geometry and Internal Symmetries of Field Theoretical Models -- - App - Short Glossary of Selected Notions from the Theory of Classical Groups In the past decade there has been an extemely rapid growth in the interest and development of quantum group theory. This book provides students and researchers with a practical introduction to the principal ideas of quantum groups theory and its applications to quantum mechanical and modern field theory problems. It begins with a review of, and introduction to, the mathematical aspects of quantum deformation of classical groups, Lie algebras and related objects (algebras of functions on spaces, differential and integral calculi). In the subsequent chapters the richness of mathematical structure and power of the quantum deformation methods and non-commutative geometry is illustrated on the different examples starting from the simplest quantum mechanical system - harmonic oscillator and ending with actual problems of modern field theory, such as the attempts to construct lattice-like regularization consistent with space-time Poincaré symmetry and to incorporate Higgs fields in the general geometrical frame of gauge theories. Graduate students and researchers studying the problems of quantum field theory, particle physics and mathematical aspects of quantum symmetries will find the book of interest |
| Beschreibung: | xi, 343 pages |
| ISBN: | 9789814261067 9814261068 9810226233 9789810226237 |
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| 500 | |a Includes bibliographical references (pages 323-337) and index | ||
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| 500 | |a In the past decade there has been an extemely rapid growth in the interest and development of quantum group theory. This book provides students and researchers with a practical introduction to the principal ideas of quantum groups theory and its applications to quantum mechanical and modern field theory problems. It begins with a review of, and introduction to, the mathematical aspects of quantum deformation of classical groups, Lie algebras and related objects (algebras of functions on spaces, differential and integral calculi). In the subsequent chapters the richness of mathematical structure and power of the quantum deformation methods and non-commutative geometry is illustrated on the different examples starting from the simplest quantum mechanical system - harmonic oscillator and ending with actual problems of modern field theory, such as the attempts to construct lattice-like regularization consistent with space-time Poincaré symmetry and to incorporate Higgs fields in the general geometrical frame of gauge theories. Graduate students and researchers studying the problems of quantum field theory, particle physics and mathematical aspects of quantum symmetries will find the book of interest | ||
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| dewey-ones | 530 - Physics |
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| dewey-search | 530.1/5255 |
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| language | English |
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| spelling | Chaichian, M. 1941- Verfasser aut Introduction to quantum groups M. Chaichian, A. Demichev Quantum groups Singapore World Scientific ©1996 xi, 343 pages txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 323-337) and index 1 - Mathematical Aspects of Quantum Group Theory and Non-Commutative Geometry -- - 2 - q-Deformation of Harmonic Oscillators, Quantum Symmetry and All That -- - 3 - q-Deformation of Space-Time Symmetries -- - 4 - Non-commutative Geometry and Internal Symmetries of Field Theoretical Models -- - App - Short Glossary of Selected Notions from the Theory of Classical Groups In the past decade there has been an extemely rapid growth in the interest and development of quantum group theory. This book provides students and researchers with a practical introduction to the principal ideas of quantum groups theory and its applications to quantum mechanical and modern field theory problems. It begins with a review of, and introduction to, the mathematical aspects of quantum deformation of classical groups, Lie algebras and related objects (algebras of functions on spaces, differential and integral calculi). In the subsequent chapters the richness of mathematical structure and power of the quantum deformation methods and non-commutative geometry is illustrated on the different examples starting from the simplest quantum mechanical system - harmonic oscillator and ending with actual problems of modern field theory, such as the attempts to construct lattice-like regularization consistent with space-time Poincaré symmetry and to incorporate Higgs fields in the general geometrical frame of gauge theories. Graduate students and researchers studying the problems of quantum field theory, particle physics and mathematical aspects of quantum symmetries will find the book of interest SCIENCE / Physics / Mathematical & Computational bisacsh Quantum groups fast Kwantumgroepen gtt Quantengruppe swd Quantengruppe (DE-588)4252437-4 gnd rswk-swf Quantengruppe (DE-588)4252437-4 s 1\p DE-604 Demichev, A. P.77608L Sonstige oth 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Chaichian, M. 1941- Introduction to quantum groups SCIENCE / Physics / Mathematical & Computational bisacsh Quantum groups fast Kwantumgroepen gtt Quantengruppe swd Quantum groups Quantengruppe (DE-588)4252437-4 gnd |
| subject_GND | (DE-588)4252437-4 |
| title | Introduction to quantum groups |
| title_alt | Quantum groups |
| title_auth | Introduction to quantum groups |
| title_exact_search | Introduction to quantum groups |
| title_full | Introduction to quantum groups M. Chaichian, A. Demichev |
| title_fullStr | Introduction to quantum groups M. Chaichian, A. Demichev |
| title_full_unstemmed | Introduction to quantum groups M. Chaichian, A. Demichev |
| title_short | Introduction to quantum groups |
| title_sort | introduction to quantum groups |
| topic | SCIENCE / Physics / Mathematical & Computational bisacsh Quantum groups fast Kwantumgroepen gtt Quantengruppe swd Quantum groups Quantengruppe (DE-588)4252437-4 gnd |
| topic_facet | SCIENCE / Physics / Mathematical & Computational Quantum groups Kwantumgroepen Quantengruppe |
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