Search results
Results From The WOW.Com Content Network
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.
Those who wish to adopt the textbooks are required to send a request to NCERT, upon which soft copies of the books are received. The material is press-ready and may be printed by paying a 5% royalty, and by acknowledging NCERT. [11] The textbooks are in color-print and are among the least expensive books in Indian book stores. [11]
The poem Sabse Khatarnak by the Hindi poet Pash was included in the NCERT textbook for 11th standard Hindi students in 2006. In 2017, the BJP government affiliated RSS tried to remove it but failed. [25] [26] The NCERT made two controversial changes to the class XII political science textbook ‘Politics in India Since Independence’ in 2017.
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.
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
The definition of the Schwartz space uses Harish-Chandra's Ξ function and his σ function. The σ function is defined by = ‖ ‖for x=k exp X with k in K and X in p for a Cartan decomposition G = K exp p of the Lie group G, where ||X|| is a K-invariant Euclidean norm on p, usually chosen to be the Killing form.
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 ...