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Statements (59)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:appliesTo |
gptkb:geometry
partial differential equations physics |
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:focusesOn |
gptkb:Lie_algebras
gptkb:Lie_groups |
| gptkbp:hasApplication |
control theory
cryptography differential geometry number theory particle physics quantum mechanics |
| gptkbp:hasConcept |
gptkb:Weyl_group
gptkb:knowledge_representation gptkb:Borel_subalgebra gptkb:Casimir_operator gptkb:Killing_form gptkb:Lie's_first_theorem gptkb:Lie's_second_theorem gptkb:Lie's_third_theorem gptkb:Lie_algebra_cohomology gptkb:Lie_group gptkb:root representation theory Cartan subalgebra Lie algebra action Lie algebra homomorphism Lie bracket Lie group action Lie subgroup adjoint representation automorphism center of a Lie algebra exponential map highest weight module homomorphism nilpotent Lie algebra representation ring semisimple Lie algebra solvable Lie algebra structure constants structure theory universal enveloping algebra |
| gptkbp:hasSubfield |
algebraic groups
classification of Lie algebras representation theory of Lie groups structure theory of Lie algebras topological groups |
| https://www.w3.org/2000/01/rdf-schema#label |
Lie theory
|
| gptkbp:namedAfter |
gptkb:Sophus_Lie
|
| gptkbp:originatedIn |
19th century
|
| gptkbp:relatedTo |
gptkb:symmetry
representation theory algebraic groups |
| gptkbp:studiedBy |
gptkb:mathematician
|
| gptkbp:bfsParent |
gptkb:Chevalley_Prize_in_Lie_Theory
gptkb:group_of_people |
| gptkbp:bfsLayer |
4
|