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Casimir eigenvalues for universal Lie algebra
Published 30 Apr 2011 in math.RT | (1105.0115v3)
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.
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