1993Journal of Physics A Mathematical and GeneralOpen access

Graded contractions of Casimir operators

Adam M. Bincer, J. Patera

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Abstract

We describe graded contractions of Casimir operators of Lie algebras. The formalism applies to any Casimir operator given as a symmetric form. We deal with the quadratic Casimir operator in exhaustive detail and indicate the modifications for operators of higher degree.

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We describe graded contractions of Casimir operators of Lie algebras. The formalism applies to any Casimir operator given as a symmetric form. We deal with the quadratic Casimir operator in exhaustive detail and indicate the modifications for operators of higher degree.

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We describe graded contractions of Casimir operators of Lie algebras. The formalism applies to any Casimir operator given as a symmetric form. We deal with the quadratic Casimir operator in exhaustive detail and indicate the modifications for operators of higher degree.

Key concepts: Casimir effect, Casimir element, Formalism (music), Quadratic equation, Operator (biology), Mathematics, Mathematical physics, Ladder operator

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