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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.
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 ...
Rahul Pandharipande (b. 1969), joined as Professor of Mathematics at Princeton University in 2002, he accepted a Professorship at ETH Zürich; Sarvadaman Chowla (1907–1995), mathematician specializing in number theory; Harish-Chandra (1923–1983), mathematician, IBM Von Neumann Professor at Institute for Advanced Study, Princeton
In mathematics, a Casimir element (also known as a Casimir invariant or Casimir operator) is a distinguished element of the center of the universal enveloping algebra of a Lie algebra. A prototypical example is the squared angular momentum operator, which is a Casimir element of the three-dimensional rotation 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.
Harish-Chandra [4] defined the Eisenstein integral by (:::) = () (() ())where: x is an element of a semisimple group G; P = MAN is a cuspidal parabolic subgroup of G; ν is an element of the complexification of a
The Harish-Chandra Research Institute (HRI) is an institution dedicated to research in mathematics and theoretical physics, located in Prayagraj, Uttar Pradesh in India. [3] Established in 1975, HRI offers masters and doctoral program in affiliation with the Homi Bhabha National Institute .