New R-matrices for Small Quantum Groups

Link:
Autor/in:
Erscheinungsjahr:
2015
Medientyp:
Text
Schlagworte:
  • Hopf algebra
  • Category
  • Fusion category
  • Algebra
  • Module
  • Hopf algebra
  • Category
  • Fusion category
  • Algebra
  • Module
Beschreibung:
  • It is widely accepted that small quantum groups should possess a quasitriangular structure, even though this is technically not true. In this article we construct explicit R-matrices, sometimes several inequivalent ones, over certain natural extensions of small quantum groups by grouplike elements. The extensions are in correspondence to lattices between root and weight lattice. Our result generalizes a well-known calculation for u (q) (oe{''}degrees oe{''}(c)(2)) used in logarithmic conformal field theories.
Lizenz:
  • info:eu-repo/semantics/restrictedAccess
Quellsystem:
Forschungsinformationssystem der UHH

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Quelldatensatz
oai:www.edit.fis.uni-hamburg.de:publications/08d131ad-c517-4c94-b62b-3c0ba4fad1b6