Quantum groups

A thorough analysis of exactly soluble models in nonlinear classical systems and in quantum systems as well as recent studies in conformal quantum field theory have revealed the structure of quantum groups to be an interesting and rich framework for mathematical and physical problems. In this book,...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Doebner, Heinz Dietrich, 1931-
Körperschaft: International Workshop on Mathematical Physics (VerfasserIn)
Weitere Verfasser: Hennig, Jörg Dieter (Verlagsleitung)
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Schriftenreihe:Lecture notes in physics 370
Schlagworte:
Online Zugang:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Anmerkung: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Quantum groups, proceedings of the 8th International Workshop on Mathematical Physics, held at the Arnold Sommerfeld Institute, Clausthal, FRG, on 19-26 July 1989, 1990, Berlin, Springer-Verlag, 1 vol. (X-434 p.), Lecture notes in physics, 3-540-53503-9
• Quantum Groups, Texte imprimé, 9783662137864
• Quantum Groups, Texte imprimé, 9783662137871
Inhaltsangabe:
  • to quantum groups
  • Mathematical guide to quantum groups
  • A q-boson realization of the quantum group SU q (2) and the theory of q-tensor operators
  • Polynomial basis for SU(2)q and Clebsch-Gordan coefficients
  • U q (sl(2)) Invariant operators and reduced polynomial identities
  • Classification and characters of Uq(sl(3, C ))representations
  • Extremal projectors for quantized kac-moody superalgebras and some of their applications
  • Yang-Baxter algebras, integrable theories and Betre Ansatz
  • Yang-Baxter algebra Bethe Ansatz conformal quantum field theories quantum groups
  • Classical Yang-Baxter equations and quantum integrable systems (Gaudin models)
  • Quantum groups as symmetries of chiral conformal algebras
  • Comments on rational conformal field theory, quantum groups and tower of algebras
  • Chern-Simons field theory and quantum groups
  • Quantum symmetry associated with braid group statistics
  • Sum rules for spins in (2 + 1)-dimensional quantum field theory
  • Anomalies from the phenomenological and geometrical points of view
  • KMS states, cyclic cohomology and supersymmetry
  • Gauge theories based on a non-commutative geometry
  • Algebras symmetries spaces.