Lie theory

GPTKB entity

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