The Casimir Operator and an application to the multiplication in a G-algebra -- Bart Van Steirteghem, 13 October 2017

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We will review the definition of the Casimir Operator of a semisimple lie algebra, and discuss its basic properties. We will then use it to prove a result of Brion's about the multiplication in a G-algebra, i.e. a commutative algebra over the complex numbers with a locally finite action of a complex connected reductive group G by algebra automorphisms.
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