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Harish Chandra Verma (born 3 April 1952), popularly known as HCV, is an Indian experimental physicist, author and emeritus professor of the Indian Institute of Technology Kanpur. In 2021, he was awarded the Padma Shri , the fourth highest civilian award, by the Government of India for his contribution to Physics Education. [ 1 ]
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.
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.
is called the character (or global character or Harish-Chandra character) of the representation. The character Θ π is a distribution on G that is invariant under conjugation, and is an eigendistribution of the center of the universal enveloping algebra of G , in other words an invariant eigendistribution, with eigenvalue the infinitesimal ...
If (,) is a representation of G, then the Harish-Chandra module of is the subspace X of V consisting of the K-finite smooth vectors in V. This means that X includes exactly those vectors v such that the map φ v : G V {\displaystyle \varphi _{v}:G\longrightarrow V} via
He decided to show the film to a select audience and arranged for a premiere at the Olympia Theatre, Bombay on 21 April 1913 at 9:00 pm. [39] The invitees included doctor and public worker Sir Bhalchandra Bhatavdekar, [40] scholar R. G. Bhandarkar, [41] a judge of Small Cause Court Justice Donald, [42] newspaper editors and representatives ...
Harish-Chandra generalized the Maass–Selberg relations to Eisenstein series of higher rank semisimple group [3] (and named the relations after Maass and Selberg) and found some analogous relations between Eisenstein integrals, [4] that he also called Maass–Selberg relations.
In mathematics, Harish-Chandra's class is a class of Lie groups used in representation theory. Harish-Chandra's class contains all semisimple connected linear Lie groups and is closed under natural operations, most importantly, the passage to Levi subgroups. This closure property is crucial for many inductive arguments in representation theory ...