Yang-Baxter equation and quantum enveloping algebras:
The exact solution of C.N. Yang's one-dimensional many-body problem with repulsive delta-function interactions and R.J. Baxter's eight-vertex statistical model are brilliant achievements in many-body statistical physics. A nonlinear equation, now known as the Yang-Baxter equation, is the k...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1993
|
| Schriftenreihe: | Advanced series on theoretical physical science
v. 1 |
| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
| Zusammenfassung: | The exact solution of C.N. Yang's one-dimensional many-body problem with repulsive delta-function interactions and R.J. Baxter's eight-vertex statistical model are brilliant achievements in many-body statistical physics. A nonlinear equation, now known as the Yang-Baxter equation, is the key to the solution of both problems. The Yang-Baxter equation has also come to play an important role in such diverse topics as completely integrable statistical models, conformal and topological field theories, knots and links, braid groups and quantum enveloping algebras. This pioneering textbook attempts to make accessible results in this rapidly-growing area of research. The author presents the mathematical fundamentals at the outset, then develops an intuitive understanding of Hopf algebras, quantisation of Lie bialgebras and quantum enveloping algebras. The historical derivation of the Yang-Baxter equation from statistical models is recounted, and the interpretation and solution of the equation are systematically discussed. Throughout, emphasis is placed on acquiring calculation skills through physical understanding rather than achieving mathematical rigour. Originating from the author's own research experience and lectures, this book will prove both an excellent graduate text and a useful work of reference |
| Beschreibung: | x, 318 p. ill |
| ISBN: | 9789814354448 |
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| 520 | |a The exact solution of C.N. Yang's one-dimensional many-body problem with repulsive delta-function interactions and R.J. Baxter's eight-vertex statistical model are brilliant achievements in many-body statistical physics. A nonlinear equation, now known as the Yang-Baxter equation, is the key to the solution of both problems. The Yang-Baxter equation has also come to play an important role in such diverse topics as completely integrable statistical models, conformal and topological field theories, knots and links, braid groups and quantum enveloping algebras. This pioneering textbook attempts to make accessible results in this rapidly-growing area of research. The author presents the mathematical fundamentals at the outset, then develops an intuitive understanding of Hopf algebras, quantisation of Lie bialgebras and quantum enveloping algebras. The historical derivation of the Yang-Baxter equation from statistical models is recounted, and the interpretation and solution of the equation are systematically discussed. Throughout, emphasis is placed on acquiring calculation skills through physical understanding rather than achieving mathematical rigour. Originating from the author's own research experience and lectures, this book will prove both an excellent graduate text and a useful work of reference | ||
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Datensatz im Suchindex
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| author | Ma, Zhongqi 1940- |
| author_facet | Ma, Zhongqi 1940- |
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| author_sort | Ma, Zhongqi 1940- |
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| dewey-ones | 530 - Physics |
| dewey-raw | 530.12 |
| dewey-search | 530.12 |
| dewey-sort | 3530.12 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
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| isbn | 9789814354448 |
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| spelling | Ma, Zhongqi 1940- Verfasser aut Yang-Baxter equation and quantum enveloping algebras Zhong-Qi Ma Singapore World Scientific Pub. Co. c1993 x, 318 p. ill txt rdacontent c rdamedia cr rdacarrier Advanced series on theoretical physical science v. 1 The exact solution of C.N. Yang's one-dimensional many-body problem with repulsive delta-function interactions and R.J. Baxter's eight-vertex statistical model are brilliant achievements in many-body statistical physics. A nonlinear equation, now known as the Yang-Baxter equation, is the key to the solution of both problems. The Yang-Baxter equation has also come to play an important role in such diverse topics as completely integrable statistical models, conformal and topological field theories, knots and links, braid groups and quantum enveloping algebras. This pioneering textbook attempts to make accessible results in this rapidly-growing area of research. The author presents the mathematical fundamentals at the outset, then develops an intuitive understanding of Hopf algebras, quantisation of Lie bialgebras and quantum enveloping algebras. The historical derivation of the Yang-Baxter equation from statistical models is recounted, and the interpretation and solution of the equation are systematically discussed. Throughout, emphasis is placed on acquiring calculation skills through physical understanding rather than achieving mathematical rigour. Originating from the author's own research experience and lectures, this book will prove both an excellent graduate text and a useful work of reference Yang-Baxter equation Universal enveloping algebras Quantum groups Einhüllende Algebra (DE-588)4151322-8 gnd rswk-swf Yang-Baxter-Gleichung (DE-588)4291478-4 gnd rswk-swf Quantengruppe (DE-588)4252437-4 gnd rswk-swf Yang-Baxter-Gleichung (DE-588)4291478-4 s Einhüllende Algebra (DE-588)4151322-8 s Quantengruppe (DE-588)4252437-4 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789810213831 Erscheint auch als Druck-Ausgabe 9810213832 http://www.worldscientific.com/worldscibooks/10.1142/2013#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ma, Zhongqi 1940- Yang-Baxter equation and quantum enveloping algebras Yang-Baxter equation Universal enveloping algebras Quantum groups Einhüllende Algebra (DE-588)4151322-8 gnd Yang-Baxter-Gleichung (DE-588)4291478-4 gnd Quantengruppe (DE-588)4252437-4 gnd |
| subject_GND | (DE-588)4151322-8 (DE-588)4291478-4 (DE-588)4252437-4 |
| title | Yang-Baxter equation and quantum enveloping algebras |
| title_auth | Yang-Baxter equation and quantum enveloping algebras |
| title_exact_search | Yang-Baxter equation and quantum enveloping algebras |
| title_full | Yang-Baxter equation and quantum enveloping algebras Zhong-Qi Ma |
| title_fullStr | Yang-Baxter equation and quantum enveloping algebras Zhong-Qi Ma |
| title_full_unstemmed | Yang-Baxter equation and quantum enveloping algebras Zhong-Qi Ma |
| title_short | Yang-Baxter equation and quantum enveloping algebras |
| title_sort | yang baxter equation and quantum enveloping algebras |
| topic | Yang-Baxter equation Universal enveloping algebras Quantum groups Einhüllende Algebra (DE-588)4151322-8 gnd Yang-Baxter-Gleichung (DE-588)4291478-4 gnd Quantengruppe (DE-588)4252437-4 gnd |
| topic_facet | Yang-Baxter equation Universal enveloping algebras Quantum groups Einhüllende Algebra Yang-Baxter-Gleichung Quantengruppe |
| url | http://www.worldscientific.com/worldscibooks/10.1142/2013#t=toc |
| work_keys_str_mv | AT mazhongqi yangbaxterequationandquantumenvelopingalgebras |