Zum Hauptinhalt springen Zur Suche springen Zur Hauptnavigation springen

Quantum Groups, Quantum Categories and Quantum Field Theory

Jürg Fröhlich, Thomas Kerler
This book reviews recent results on low-dimensional quantumfield theories and their connection with quantum grouptheory and the theory of braided, balanced tensorcategories. It presents detailed, mathematically preciseintroductions to these subjects and then continues with newresults. Among the main results are a detailed analysis ofthe representation theory of U (sl ), for q a primitiveroot of unity, and a semi-simple quotient thereof, aclassfication of braided tensor categories generated by anobject of q-dimension less than two, and an application ofthese results to the theory of sectors in algebraic quantumfield theory. This clarifies the notion of "quantizedsymmetries" in quantum fieldtheory. The reader is expectedto be familiar with basic notions and resultsin algebra.The book is intended for research mathematicians,mathematical physicists and graduate students.
Autor: Fröhlich, Jürg Kerler, Thomas
EAN: 9783540566236
Sprache: Englisch
Seitenzahl: 432
Produktart: kartoniert, broschiert
Verlag: Springer Springer, Berlin Springer Berlin Heidelberg
Schlagworte: Homologische Algebra Kategorie (mathemat.) Quantenfeldtheorie Quantengruppe
Größe: 25 × 157 × 237
Gewicht: 648 g