Harish-Chandra

From Wikipedia, the free encyclopedia

You have new messages (last change).
For the character in Hindu mythology, see Harishchandra

Harish-Chandra (हरीश चन्द्र) (11 October 1923-16 October 1983), was an Indian mathematician, who did fundamental work in representation theory, especially Harmonic analysis on semisimple Lie groups. He was IBM-von Neumann Professor at the Institute for Advanced Study, Princeton.

Contents

[edit] Early studies

Harish-Chandra (Harish Chandra Mehrotra) was born in Kanpur, India. His education at the University of Allahabad was in physics. He came to University of Cambridge as a research student of Paul Dirac, finishing a doctorate in 1947.

[edit] Work in mathematics

He then moved to the USA, where he was at Columbia University from 1950 to 1963. During this period he established as his special area the study of the discrete series representations of semisimple Lie groups — which are the closest analogue of the Peter-Weyl theory in the non-compact case. The methods were formidable and inductive, using Lie group decompositions.

He is also known for work with Armand Borel founding the theory of arithmetic groups; and for papers on finite group analogues.

He was a faculty member at the Institute for Advanced Study in New Jersey.

[edit] See also

[edit] External links

  • O'Connor, John J., and Edmund F. Robertson. "Harish-Chandra". MacTutor History of Mathematics archive.
  • Robert Langlands, Harish-Chandra, Biog. Memoirs of Fellows of the Roy. Soc., 31 (1985), 197–225,
  • [1]
  • [2]
  • [3]
  • Obituary : Harish-Chandra, New York Times (19 October 1983).
  • Harish-Chandra Research Institute, Allahabad, India [4]
  • References for Harish-Chandra [5]
  • Biography in Dictionary of Scientific Biography (New York 1970-1990).

[edit] Books

  • V S Varadarajan (ed.), Harish-Chandra, Collected papers I (Springer-Verlag, New York, 1984).
  • V S Varadarajan (ed.), Harish-Chandra, Collected papers II (Springer-Verlag, New York, 1984).
  • V S Varadarajan (ed.), Harish-Chandra, Collected papers III (Springer-Verlag, New York, 1984).
  • V S Varadarajan (ed.), Harish-Chandra, Collected papers IV (Springer-Verlag, New York, 1984).

[edit] Articles

  • A Borel, Some recollections of Harish-Chandra, in The mathematical legacy of Harish-Chandra, Baltimore, MD, January 9-10, 1998 (Amer. Math. Soc., Providence, RI, 2000), 37-41.
  • A Borel, Some recollections of Harish-Chandra, Current Sci. 65 (12) (1993), 919-921.
  • S Helgason, Harish-Chandra memorial talk, in The mathematical legacy of Harish-Chandra, Baltimore, MD, January 9-10, 1998 (Amer. Math. Soc., Providence, RI, 2000), 43-45.
  • S Helgason, Harish-Chandra and his mathematical legacy : some personal recollections, Current Sci. 74 (10) (1998), 921-924. *R A Herb, Harish-Chandra and his work, Bull. Amer. Math. Soc. 25 (1991), 1-17.
  • R A Herb, Harish-Chandra and his work, A joint AMS-MAA lecture presented in San Francisco, California, January 1991. AMS-MAA Joint Lecture Series (Amer. Math. Soc., Providence, RI, 1991), videocassette.
  • R A Herb, An elementary introduction to Harish-Chandra's work, in The mathematical legacy of Harish-Chandra, Baltimore, MD, January 9-10, 1998 (Amer. Math. Soc., Providence, RI, 2000), 59-75.
  • V Kumar Murty, Ramanujan and Harish-Chandra, The Mathematical Intelligencer 15 (2), 33-39.
  • R P Langlands, Harish-Chandra, Biographical Memoirs of Fellows of the Royal Society of London 31 (1985), 199-225.
  • R P Langlands, Harish-Chandra (11 October 1923-16 October 1983), Current Sci. 65 (12) (1993), 922--936.
  • R P Langlands, Harish-Chandra memorial talk, in The mathematical legacy of Harish-Chandra, Baltimore, MD, January 9-10, 1998 (Amer. Math. Soc., Providence, RI, 2000), 47-49.
  • R P Langlands, Harish-Chandra (1923-1983), in Some eminent Indian mathematicians of the twentieth century (Math. Sci. Trust Soc., New Delhi, 1990), 45-56.
  • G D Mostow, Harish-Chandra memorial talk, in The mathematical legacy of Harish-Chandra, Baltimore, MD, January 9-10, 1998 (Amer. Math. Soc., Providence, RI, 2000), 51-53.
  • N Mukunda, Dirac, Harish-Chandra and the unitary representations of the Lorentz group, Current Sci. 65 (12) (1993), 936-940.
  • Remembering Harish-Chandra, in Current trends in mathematics and physics (Narosa, New Delhi, 1995), 208-220.
  • S L Srivastava, About Harish Chandra, Ganita-Bharati. Bulletin of the Indian Society for the History of Mathematics 8 (1-4) (1986), 42-43.
  • V S Varadarajan, Harish-Chandra (1923- 1983), Math. Intelligencer 6 (3) (1984), 9-13, 19.
  • V S Varadarajan, Harish-Chandra 1923- 1983, J. Indian Math. Soc. (N.S.) 56 (1-4) (1991), 190-215.
  • V S Varadarajan, Harish-Chandra and his mathematical work, Current Sci. 65 (12) (1993), 918-919.
  • V S Varadarajan, Harish-Chandra, his work, and its legacy, in The mathematical legacy of Harish-Chandra, Baltimore, MD, January 9-10, 1998 (Amer. Math. Soc., Providence, RI, 2000), 1-35.
  • V S Varadarajan, Harish-Chandra memorial talk, in The mathematical legacy of Harish-Chandra, Baltimore, MD, January 9-10, 1998 (Amer. Math. Soc., Providence, RI, 2000), 55-57.
  • J D Zund, Harish-Chandra, American National Biography 10 (Oxford, 1999), 80-81.
Retrieved from "http://en.wikipedia.org../../../h/a/r/Harish-Chandra_5bfe.html"