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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, 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 ...
Dr. Dinesh Prasad Saklani is the director of NCERT since 2022. [2] In 2023, NCERT constituted a 19-member committee, including author and Infosys Foundation chair Sudha Murthy, singer Shankar Mahadevan, and Manjul Bhargava to finalize the curriculum, textbooks and learning material for classes 3 to 12. [4]
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
A particularly important special case is the Harish-Chandra isomorphism identifying the center of the universal enveloping algebra with the invariant polynomials on a Cartan subalgebra. In the case of the K -invariant elements of the universal enveloping algebra for a maximal compact subgroup K , the Harish-Chandra homomorphism was studied by ...
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