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Harish-Chandra Mehrotra FRS [1] [3] (11 October 1923 – 16 October 1983) was an Indian-American mathematician and physicist who did fundamental work in representation theory, especially harmonic analysis on semisimple Lie groups.
In mathematics, the Harish-Chandra isomorphism, introduced by Harish-Chandra (), 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.
In mathematics, specifically in the representation theory of Lie groups, a Harish-Chandra module, named after the Indian mathematician and physicist Harish-Chandra, is a representation of a real Lie group, associated to a general representation, with regularity and finiteness conditions.
In mathematics, Harish-Chandra's c-function is a function related to the intertwining operator between two principal series representations, that appears in the Plancherel measure for semisimple Lie groups.
Harish-Chandra (1978, 1999) proved a similar theorem for semisimple p-adic groups. Harish-Chandra (1955, 1956) had previously shown that any invariant eigendistribution is analytic on the regular elements of the group, by showing that on these elements it is a solution of an elliptic differential equation. The problem is that it may have ...
In mathematics, Harish-Chandra theorem may refer to one of several theorems due to Harish-Chandra, including: Harish-Chandra's theorem on the Harish-Chandra isomorphism; Harish-Chandra's classification of discrete series representations; Harish-Chandra's regularity theorem
Harish-Chandra (1958), "Spherical Functions on a Semisimple Lie Group II", American Journal of Mathematics, 80 (3), The Johns Hopkins University Press: 553–613, doi:10.2307/2372772, ISSN 0002-9327, JSTOR 2372772
In mathematics, the Harish-Chandra character, named after Harish-Chandra, of a representation of a semisimple Lie group G on a Hilbert space H is a distribution on the group G that is analogous to the character of a finite-dimensional representation of a compact group.