Quantum Groups, Quantum Categories and Quantum Field Theory

This book reviews recent results on low-dimensional quantum field theories and their connection with quantum group theory and the theory of braided, balanced tensor categories. It presents detailed, mathematically precise introductions to these subjects and then continues with new results. Among the...

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Библиографические подробности
Главные авторы: Fröhlich, Jürg, 1946-...., physicien, Kerler, Thomas, 1965- (Автор)
Формат: Livre numérique
Язык:Anglais
Опубликовано: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Серии:Lecture notes in mathematics 1542
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Edition sous un autre format:• Quantum groups, quantum categories and quantum field theory, Jürg Fröhlich, Thomas Kerler, Berlin, Springer, 1994, 1 volume (vii-431 pages), Lecture notes in mathematics, 3-540-56623-6
• Quantum Groups, Quantum Categories and Quantum Field Theory, Texte imprimé, 9783662185827
Оглавление:
  • and survey of results
  • Local quantum theory with braid group statistics
  • Superselection sectors and the structure of fusion rule algebras
  • Hopf algebras and quantum groups at roots of unity
  • Representation theory of U q red (s? 2)
  • Path representations of the braid groups for quantum groups at roots of unity
  • Duality theory for local quantum theories, dimensions and balancing in quantum categories
  • The quantum categories with a generator of dimension less than two.