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