Properties (44)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
algebra
|
| gptkbp:associated_with |
affine Lie algebras
infinite-dimensional representations |
| gptkbp:can_be |
vertex operator algebras
|
| gptkbp:designatedAs |
Dynkin diagrams
types A, B, C, D, E, F, G |
| gptkbp:has_a |
that can be infinite
called_the_affine_Kac-Moody_algebra |
| gptkbp:has_a_focus_on |
representation theory
|
| gptkbp:hasPrograms |
string theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Kac-Moody algebra
|
| gptkbp:includes |
affine algebras
|
| gptkbp:is_a |
Lie algebra
|
| gptkbp:is_a_key_component_of |
the theory of algebraic groups
|
| gptkbp:is_a_platform_for |
understanding symmetries
|
| gptkbp:is_a_subject_of |
mathematical physics
representation theory mathematical research modern algebra mathematical physics and geometry the_study_of_algebraic_structures |
| gptkbp:is_characterized_by |
its root system
|
| gptkbp:is_essential_for |
the representation theory of groups.
string theory and M-theory |
| gptkbp:is_involved_in |
the study of algebraic topology
|
| gptkbp:is_linked_to |
the theory of Lie groups
|
| gptkbp:is_recognized_for |
a_generalized_Cartan_matrix
|
| gptkbp:is_studied_in |
mathematical physics
integrable systems noncommutative geometry quantum_field_theories |
| gptkbp:is_used_in |
theoretical physics
modular forms the study of symmetry symmetries in physics conformal field theories |
| gptkbp:isConnectedTo |
the theory of partitions
|
| gptkbp:leadership |
Cartan subalgebras
|
| gptkbp:previousName |
gptkb:Victor_Kac
|
| gptkbp:related_to |
gptkb:quantum_groups
vertex operator algebras the_Langlands_program |
| gptkbp:standardFeatures |
semisimple Lie algebras
finite-dimensional Lie algebras |