Casimir eigenvalues for universal Lie algebra

Abstract

For two different natural definitions of Casimir operators for simple Lie algebras we show that their eigenvalues in the adjoint representation can be expressed polynomially in the universal Vogel's parameters $\alpha ,\beta ,\gamma$ and give explicit formulae for the generating functions of these eigenvalues.

Slightly revised version

References in corpus (2)

• Universality in Chern-Simons theory
• On duality and negative dimensions in the theory of Lie groups and symmetric spaces

Cited by in corpus (17)

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