Properties (63)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Lie algebra
|
| gptkbp:are |
used in algebraic geometry
used in string theory infinite-dimensional used in the study of geometric representation theory used in the study of topological quantum field theory important in mathematical physics related to quantum groups used in combinatorial representation theory used in conformal field theory used in the study of Lie group representations used in the study of algebraic topology used in the study of computational algebra used in the study of differential geometry used in the study of integrable systems used in the study of mathematical analysis used in the study of mathematical logic used in the study of mathematical physics used in the study of modular forms used in the study of noncommutative geometry used in the study of quantum field theory used in the study of representation categories used in the theory of algebraic groups used in the theory of symmetric spaces used_in_the_study_of_algebraic_combinatorics used_in_the_study_of_algebraic_dynamics used_in_the_study_of_algebraic_structures |
| gptkbp:characterizedBy |
generalized_Cartan_matrix
|
| gptkbp:has |
gptkb:Kac-Moody_groups
root system Coxeter group associated affine Weyl group affine root system associated Lie algebra cohomology associated affine Lie group associated affine algebra associated algebraic topology theories associated algebraic varieties associated analytical structures associated cohomology theories associated combinatorial structures associated computational structures associated differential structures associated dynamical systems. associated geometric structures associated homology theories associated logical structures dual pair structure highest weight representations integrable representations root space decomposition vertex operator algebra representations Kac's_determinant_formula Serre_relations associated_Lie_group |
| https://www.w3.org/2000/01/rdf-schema#label |
Kac-Moody Lie algebras
|
| gptkbp:includes |
affine Lie algebras
finite-dimensional Lie algebras |
| gptkbp:isAccessibleBy |
Dynkin diagrams
|
| gptkbp:namedAfter |
gptkb:Victor_Kac
|
| gptkbp:relatedTo |
representation theory
|
| gptkbp:standardFeatures |
finite-dimensional simple Lie algebras
|
| gptkbp:usedIn |
theory of vertex operator algebras
|