Casimir values for universal Lie algebra

Details Casimir values for universal Lie algebra Casimir values for universal Lie algebra

2011-04-30

arxiv.org/abs/1105.0115v2

Mathematics

Representation Theory

Slightly revised version

Scientific paper

We show that the values of Casimir operators in the adjoint representation of
simple Lie algebras can be expressed rationally through the universal Vogel's
parameters and give explicit formulae for the generating functions of these
values for two different versions of the Casimir operators.

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