Quantum Groups, Quantum Categories and Quantum Field Theory: 1542 (Lecture Notes in Mathematics) - Softcover

Förhlich, Jürg

 
9783540566236: Quantum Groups, Quantum Categories and Quantum Field Theory: 1542 (Lecture Notes in Mathematics)
Softcover
ISBN 10: 3540566236 ISBN 13: 9783540566236
Verlag: Springer, 2009

Inhaltsangabe

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 main results are a detailed analysis of the representation theory of U (sl ), for q a primitive root of unity, and a semi-simple quotient thereof, a classfication of braided tensor categories generated by an object of q-dimension less than two, and an application of these results to the theory of sectors in algebraic quantum field theory. This clarifies the notion of "quantized symmetries" in quantum fieldtheory. The reader is expected to be familiar with basic notions and resultsin algebra. The book is intended for research mathematicians, mathematical physicists and graduate students.

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Reseña del editor

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 main results are a detailed analysis of the representation theory of U (sl ), for q a primitive root of unity, and a semi-simple quotient thereof, a classfication of braided tensor categories generated by an object of q-dimension less than two, and an application of these results to the theory of sectors in algebraic quantum field theory. This clarifies the notion of "quantized symmetries" in quantum fieldtheory. The reader is expected to be familiar with basic notions and resultsin algebra. The book is intended for research mathematicians, mathematical physicists and graduate students.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
3540566236
ISBN 13 
9783540566236
Einband
Tapa blanda
Anzahl der Seiten
440
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Weitere beliebte Ausgaben desselben Titels

9780387566238: Quantum Groups, Quantum Categories and Quantum Field Theory (Lecture Notes in Mathematics)

Vorgestellte Ausgabe

ISBN 10:  0387566236 ISBN 13:  9780387566238
Verlag: Springer Verlag, 1993
Softcover