|
gptkbp:instanceOf
|
gptkb:mathematical_concept
|
|
gptkbp:application
|
gptkb:quantum_field_theory
particle physics
quantum mechanics
|
|
gptkbp:defines
|
an element of the center of the universal enveloping algebra of a Lie algebra
|
|
gptkbp:example
|
gptkb:quadratic_Casimir_operator
higher-order Casimir operators
|
|
gptkbp:field
|
gptkb:mathematics
gptkb:theoretical_physics
|
|
gptkbp:hasInvariant
|
gptkb:adjoint_action_of_the_Lie_algebra
|
|
gptkbp:hasSubfield
|
gptkb:Lie_group
representation theory
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Casimir operator
|
|
gptkbp:introducedIn
|
1931
|
|
gptkbp:namedAfter
|
gptkb:Hendrik_Casimir
|
|
gptkbp:originatedIn
|
study of symmetries
|
|
gptkbp:property
|
commutes with all elements of the Lie algebra
|
|
gptkbp:relatedTo
|
gptkb:Lie_group
invariant theory
representation theory
|
|
gptkbp:uses
|
used to classify irreducible representations of Lie algebras
|
|
gptkbp:bfsParent
|
gptkb:Hendrik_Brugt_Gerhard_Casimir
gptkb:Hendrik_Casimir
gptkb:Lie_theory
gptkb:Pauli–Lubanski_pseudovector
gptkb:Lie_groups
gptkb:Representation_theory
|
|
gptkbp:bfsLayer
|
5
|