THE HARISH-CHANDRA ISOMORPHISM FOR sl(2,C)
نویسنده
چکیده
Given a reductive Lie algebra g and choice of Cartan subalgebra h, the HarishChandra map gives an isomorphism between the center z of the universal enveloping algebra U(g) of g and the algebra of Weyl group invariant symmetric tensors of h, denoted S(h) . We define these objects and give a sketch of the proof, using sl(2,C) as a motivating example. The proofs and examples mirror those found in Cohomological Induction and Unitary Representations by Knapp and Vogan.
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