| 词条 | Harish-Chandra homomorphism |
| 释义 |
In mathematical representation theory, a Harish-Chandra homomorphism is a homomorphism from a subalgebra of the universal enveloping algebra of a semisimple Lie algebra to the universal enveloping algebra of a subalgebra. A particularly important special case is the Harish-Chandra isomorphism identifying the center of the universal enveloping algebra with the invariant polynomials on a Cartan subalgebra. In the case of the K-invariant elements of the universal enveloping algebra for a maximal compact subgroup K, the Harish-Chandra homomorphism was studied by {{harvs|txt|last=Harish-Chandra|authorlink=Harish-Chandra|year=1958}}. References
1 : Representation theory of Lie groups |
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