| eBook ISBN: | 978-0-8218-7884-2 |
| Product Code: | CONM/294.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-7884-2 |
| Product Code: | CONM/294.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 294; 2002; 266 ppMSC: Primary 16; 17; 20; 81; 46; 82; 18
This volume presents articles from several lectures presented at the school on “Quantum Symmetries in Theoretical Physics and Mathematics” held in Bariloche, Argentina. The various lecturers provided significantly different points of view on several aspects of Hopf algebras, quantum group theory, and noncommutative differential geometry, ranging from analysis, geometry, and algebra to physical models, especially in connection with integrable systems and conformal field theories.
Primary topics discussed in the text include subgroups of quantum \(SU(N)\), quantum ADE classifications and generalized Coxeter systems, modular invariance, defects and boundaries in conformal field theory, finite dimensional Hopf algebras, Lie bialgebras and Belavin-Drinfeld triples, real forms of quantum spaces, perturbative and non-perturbative Yang-Baxter operators, braided subfactors in operator algebras and conformal field theory, and generalized (\(d^N\)) cohomologies.
ReadershipGraduate students, research mathematicians, and physicists interested in Hopf algebras, quantum groups, Von Neumann algebras, subfactors and noncommutative differential geometry or on the connections between the previous concepts and conformal field theories or integrable systems.
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Table of Contents
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Articles
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Nicolás Andruskiewitsch — About finite dimensional Hopf algebras [ MR 1907185 ]
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Michel Dubois-Violette — Lectures on differentials, generalized differentials and on some examples related to theoretical physics [ MR 1907186 ]
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Jens Böckenhauer and David E. Evans — Modular invariants from subfactors [ MR 1907187 ]
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Adrian Ocneanu — The classification of subgroups of quantum ${\rm SU}(N)$ [ MR 1907188 ]
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O. Ogievetsky — Uses of quantum spaces [ MR 1907189 ]
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J.-B. Zuber — CFT, BCFT, $ADE$ and all that [ MR 1907190 ]
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This volume presents articles from several lectures presented at the school on “Quantum Symmetries in Theoretical Physics and Mathematics” held in Bariloche, Argentina. The various lecturers provided significantly different points of view on several aspects of Hopf algebras, quantum group theory, and noncommutative differential geometry, ranging from analysis, geometry, and algebra to physical models, especially in connection with integrable systems and conformal field theories.
Primary topics discussed in the text include subgroups of quantum \(SU(N)\), quantum ADE classifications and generalized Coxeter systems, modular invariance, defects and boundaries in conformal field theory, finite dimensional Hopf algebras, Lie bialgebras and Belavin-Drinfeld triples, real forms of quantum spaces, perturbative and non-perturbative Yang-Baxter operators, braided subfactors in operator algebras and conformal field theory, and generalized (\(d^N\)) cohomologies.
Graduate students, research mathematicians, and physicists interested in Hopf algebras, quantum groups, Von Neumann algebras, subfactors and noncommutative differential geometry or on the connections between the previous concepts and conformal field theories or integrable systems.
-
Articles
-
Nicolás Andruskiewitsch — About finite dimensional Hopf algebras [ MR 1907185 ]
-
Michel Dubois-Violette — Lectures on differentials, generalized differentials and on some examples related to theoretical physics [ MR 1907186 ]
-
Jens Böckenhauer and David E. Evans — Modular invariants from subfactors [ MR 1907187 ]
-
Adrian Ocneanu — The classification of subgroups of quantum ${\rm SU}(N)$ [ MR 1907188 ]
-
O. Ogievetsky — Uses of quantum spaces [ MR 1907189 ]
-
J.-B. Zuber — CFT, BCFT, $ADE$ and all that [ MR 1907190 ]
