Properties (47)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:comic_book
|
| gptkbp:associated_with |
affine Lie algebras
vertex operator algebras and their representations |
| gptkbp:can_be |
automorphism groups
|
| gptkbp:covers |
the affine group
|
| gptkbp:defines |
a field
|
| gptkbp:designatedAs |
Dynkin diagrams
their_Dynkin_diagrams |
| gptkbp:has_a |
subgroups
the loop group associated_Weyl_group |
| gptkbp:has_a_role_in |
the theory of quantum integrable systems
|
| gptkbp:has_partnerships_with |
noncommutative geometry
the theory of operads and their applications |
| gptkbp:hasPrograms |
string theory
mathematical physics and string theory |
| https://www.w3.org/2000/01/rdf-schema#label |
affine Kac-Moody groups
|
| gptkbp:includes |
parabolic subgroups
|
| gptkbp:is_a_representation_of |
highest weight representations
|
| gptkbp:is_characterized_by |
their root data
|
| gptkbp:is_designed_to |
finite-dimensional simple Lie algebras
|
| gptkbp:is_essential_for |
mathematical physics
|
| gptkbp:is_involved_in |
the_Langlands_program
|
| gptkbp:is_linked_to |
the theory of operads
|
| gptkbp:is_recognized_for |
automorphism groups of certain algebras
symmetries of integrable systems automorphism groups of certain algebraic structures. |
| gptkbp:is_studied_in |
algebraic geometry
homological algebra modular forms symplectic geometry geometric representation theory modular forms and their symmetries moduli_spaces the_Langlands_duality |
| gptkbp:is_used_in |
representation theory
affine Lie algebras 2-dimensional conformal field theories 2-dimensional conformal field theories and their symmetries affine flag varieties |
| gptkbp:isConnectedTo |
the theory of algebraic groups
geometric representation theory conformal field theory |
| gptkbp:related_to |
gptkb:quantum_groups
vertex operator algebras the_theory_of_algebraic_stacks |
| gptkbp:rootSystem |
affine root system
|