|
gptkbp:instanceOf
|
gptkb:algebra
gptkb:Lie_group
|
|
gptkbp:automorphismGroup
|
diagram automorphism
|
|
gptkbp:category
|
category O
|
|
gptkbp:centralTo
|
one-dimensional
|
|
gptkbp:characterizedBy
|
gptkb:generalized_Cartan_matrix
|
|
gptkbp:class
|
twisted
untwisted
|
|
gptkbp:containsModule
|
gptkb:Verma_module
gptkb:Fock_space_module
gptkb:Wakimoto_module
|
|
gptkbp:Dynkin_diagram
|
gptkb:affine_Dynkin_diagram
|
|
gptkbp:hasApplication
|
gptkb:vertex_operator_algebras
integrable systems
modular forms
soliton equations
|
|
gptkbp:hasCasimirElement
|
gptkb:Sugawara_construction
|
|
gptkbp:hasCentralElement
|
central charge
|
|
gptkbp:hasCoxeterNumber
|
affine Coxeter number
|
|
gptkbp:hasDerivation
|
degree operator
|
|
gptkbp:hasDual
|
gptkb:Langlands_dual_affine_Lie_algebra
|
|
gptkbp:hasKillingForm
|
degenerate
|
|
gptkbp:hasProperty
|
infinite-dimensional
symmetrizable
graded
|
|
gptkbp:hasQuantumDeformation
|
gptkb:quantum_affine_algebra
|
|
gptkbp:hasSubalgebra
|
gptkb:Heisenberg_algebra
Cartan subalgebra
|
|
gptkbp:hasWeightLattice
|
affine weight lattice
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
affine Lie algebras
|
|
gptkbp:introduced
|
gptkb:Victor_Kac
gptkb:Robert_Moody
|
|
gptkbp:notableExample
|
gptkb:affine_A_n
gptkb:affine_D_n
gptkb:affine_E8
gptkb:affine_G2
gptkb:affine_sl(2)
|
|
gptkbp:relatedTo
|
gptkb:Virasoro_algebra
finite-dimensional simple Lie algebras
central extension
loop algebras
|
|
gptkbp:represents
|
highest weight representation
integrable representation
level k representation
|
|
gptkbp:studiedIn
|
gptkb:mathematics
gptkb:theoretical_physics
|
|
gptkbp:subclassOf
|
gptkb:Kac–Moody_algebra
|
|
gptkbp:type
|
gptkb:affine_root_system
|
|
gptkbp:usedIn
|
gptkb:quantum_field_theory
gptkb:string_theory
representation theory
|
|
gptkbp:Weyl_group
|
gptkb:affine_Weyl_group
|
|
gptkbp:bfsParent
|
gptkb:Igor_Frenkel
gptkb:vertex_operator_algebras
gptkb:Kac–Moody_algebras
gptkb:Kac–Peterson_formula
gptkb:Kac–Wakimoto_character_formula
|
|
gptkbp:bfsLayer
|
6
|