Quantum groups

GPTKB entity

Statements (50)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application gptkb:quantum_field_theory
gptkb:statistical_mechanics
integrable systems
representation theory
knot theory
gptkbp:deformationOf universal enveloping algebras
gptkbp:field gptkb:mathematics
gptkb:theoretical_physics
gptkbp:generalizes classical groups
https://www.w3.org/2000/01/rdf-schema#label Quantum groups
gptkbp:introduced gptkb:Vladimir_Drinfeld
gptkb:Michio_Jimbo
gptkbp:introducedIn 1980s
gptkbp:relatedTo gptkb:Hopf_algebras
gptkb:Yang–Baxter_equation
gptkb:quantum_Teichmüller_theory
gptkb:quantum_harmonic_oscillator
gptkb:Lie_algebras
gptkb:quantum_cohomology
gptkb:quantum_topology
gptkb:Drinfeld–Jimbo_algebra
gptkb:quantum_Schur–Weyl_duality
gptkb:quantum_cluster_algebra
gptkb:quantum_dilogarithm
quantum inverse scattering method
quantum group theory
quantum algebra
quantum deformation
modular tensor categories
quantum symmetry
braided tensor categories
quantum double
quantum enveloping algebra
quantum group algebra
quantum group application
quantum group category
quantum group deformation
quantum group invariant
quantum group representation
quantum group structure
quantum group symmetry
quantum integrable models
quantum matrix group
quantum plane
gptkbp:structure gptkb:Lie_group
noncommutative geometry
gptkbp:studiedIn gptkb:category_theory
gptkbp:bfsParent gptkb:Cyclic_cohomology
gptkbp:bfsLayer 6