Properties (57)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical groups
|
| gptkbp:associated_with |
vertex operator algebras
Lie theory |
| gptkbp:can_be |
true
matrix groups Lie group theory |
| gptkbp:designatedAs |
Dynkin diagrams
their root systems |
| gptkbp:dissolved |
parabolic subgroups
|
| gptkbp:has_a |
subgroups
rank locally compact simple roots |
| gptkbp:hasPrograms |
mathematical physics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Kac-Moody groups
|
| gptkbp:includes |
gptkb:affine_Kac-Moody_groups
|
| gptkbp:is_a |
finite-dimensional Lie groups
|
| gptkbp:is_a_center_for |
discrete
|
| gptkbp:is_a_representation_of |
faithful
finite-dimensional in some cases |
| gptkbp:is_designed_to |
root systems
|
| gptkbp:is_essential_for |
theory of algebraic groups
the study of algebraic topology the_study_of_algebraic_groups |
| gptkbp:is_recognized_for |
automorphism groups
arbitrary fields Kac-Moody_algebras |
| gptkbp:is_studied_in |
algebraic geometry
homotopy theory topological groups dynamical systems symplectic geometry geometric structures geometric representation theory noncommutative geometry the representation theory of groups. symmetries in physics the theory of categories |
| gptkbp:is_used_in |
string theory
modular forms affine Lie algebras affine Weyl groups the study of quantum field theory representation theory of algebras affine root systems moduli_spaces |
| gptkbp:isConnectedTo |
representation theory
homological algebra the theory of sheaves the theory of operads the_Langlands_program |
| gptkbp:previousName |
gptkb:Victor_Kac
|
| gptkbp:related_to |
gptkb:quantum_groups
modular forms Lie algebra cohomology the_theory_of_algebraic_stacks |
| gptkbp:structureType |
non-abelian
|