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

Förhlich, Jürg

ISBN 10: 3540566236 / ISBN 13: 9783540566236

Published by Springer, 1993

About this Item

Seller Inventory # I-9783540566236

Bibliographic Details

• Title: Quantum Groups, Quantum Categories and Quantum Field Theory (Lecture Notes in Mathematics, 1542)
• Publisher: Springer
• Publication Date: 1993
• Language: English
• ISBN 10: 3540566236
• ISBN 13: 9783540566236
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.