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Harish-Chandra Mehrotra was born in Kanpur. [7] He was educated at B.N.S.D. College, Kanpur and at the University of Allahabad. [8] After receiving his master's degree in physics in 1940, he moved to the Indian Institute of Science, Bangalore for further studies under Homi J. Bhabha.
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 .
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 (Mehrotra), mathematician who did fundamental work in representation theory, especially harmonic analysis on semisimple Lie groups; Atul Kumar, CSIR-CDRI (inventor of anti-osteoporosis drug) Lalji Singh, molecular biologist; P. K . Sethi, inventor of the Jaipur foot; Prem Chand Pandey, scientist, physicist, meteorologist ...
Alexander Brown – mathematician and educator in South Africa; J. F. Cameron – mathematician, Master and Vice-Chancellor of Cambridge University; Harish-Chandra – mathematician; Eugenia Cheng – mathematician; John Horton Conway – mathematician; Quentin Stafford-Fraser – computer scientist, and inventor of the webcam; Richard D. Gill ...
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
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.