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
.