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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, mathematician and physicist (1923–1983 CE) Ranjan Roy Daniel, physicist (1923–2005 CE) M. S. Swaminathan, agronomist (1925–2023 CE)
Jadav Chandra Chakravarti (1855–1920) Ashutosh Mukherjee (1864–1924) Ganesh Prasad (1876–1935) Swami Bharati Krishna Tirtha (1884–1960) Srinivasa Ramanujan (1887–1920) A. A. Krishnaswami Ayyangar (1892–1953) Prasanta Chandra Mahalanobis (1893–1972) Dinanath Atmaram Dalvi (1844–1897) Syamadas Mukhopadhyaya (1866-1937)
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, 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.
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 .