Harish-Chandra isomorphism
Isomorphism of commutative rings constructed in the theory of Lie algebras / From Wikipedia, the free encyclopedia
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Not to be confused with Harish-Chandra homomorphism.
In mathematics, the Harish-Chandra isomorphism, introduced by Harish-Chandra (1951), is an isomorphism of commutative rings constructed in the theory of Lie algebras. The isomorphism maps the center of the universal enveloping algebra of a reductive Lie algebra to the elements of the symmetric algebra of a Cartan subalgebra that are invariant under the Weyl group .