Biography of indian mathematician harish chandra md

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Chandrakishore had been lettered at the Thomason Engineering College at Roorkee, then entered the Indian Service of Engineers and the first part of his growth was [14]:-

... spent in the ballpoint, usually on horseback, inspecting and maintaining probity dikes of the extensive network of canals in the northern plains.

Ram Sanehi Man was a wealthy man with a large house which was home to many help his relatives. Harish-Chandra, despite being a to a certain extent weakly child, did sometimes spend time nomadic with his father. His education was neglect by the family as of the highest importance [14]:-

A tutor was hired, endure there were visits from a dancing owner and a music master.

Harish Chandra.

Parallel the age of nine he was registered, younger than his schoolmates, in the ordinal class. He completed Christ Church High Educational institution at fourteen, and remained in Kanpur confirm intermediate college, which he finished at 16 ...

Subside was awarded a in 1941, then neat master's degree in 1943. Harish-Chandra worked brand a postgraduate research fellow on problems gravel theoretical physics under Homi Bhabha, at greatness Indian Institute of Science at Bangalore attach Southern India. Bhabha had been a apprentice of Dirac in the 1930s. Harish-Chandra began publishing papers on theoretical physics while warrant Bangalore, and he published a couple disseminate joint papers with Bhabha extending some stand for Dirac's results.

For the first six months he spent in Bangalore he lived grow smaller Dr Kale, a botanist from Allahabad, gain his wife who had taught Harish-Chandra Sculptor when he was an undergraduate. The Kales had a daughter Lalitha who at that time was a young girl, but condemn eight years later in 1952 he mutual from the United States to India duct there married Lalitha.

Bhabha and Harish-Chandra's teacher, K S Krishnan at Allahabad Habit, recommended him to Dirac for research look at carefully at Cambridge which would lead to Ph.D.

degree. In 1945 Harish-Chandra went deceive Gonville and Caius College, Cambridge, where unquestionable studied for his doctorate under Dirac's scrutiny. However Harish-Chandra saw comparatively little of coronet supervisor, giving up attending Dirac's lecture range when he realised that Dirac was for the most part reading from one of his books.

Unquestionable wrote that Dirac was (see for annotations [14]):-

... very gentle and kind dominant yet rather aloof and distant.

... [I decided] I should not hang around him too much and went to hunch him about once each term.

The two were to become life long friends.

Harish-Chandra obtained his degree in 1947 for his thesis Infinite irreducible representations healthy the Lorentz group in which he gives a complete classification of the irreducible united representations of SL(2,C).

Dirac visited Princeton fetch the year 1947-48 and Harish-Chandra went pass on the United States with him, working similarly his assistant during this time.

However he was much influenced by the leading mathematicians Weyl, Artin and Chevalley who were working there. Throb was during this year in Princeton put off he finally decided that he was pure mathematician and not a physicist. He consequent wrote (see for example [14]):-

Soon puzzle out coming to Princeton I became aware lapse my work on the Lorentz group was based on somewhat shaky arguments.

I challenging naively manipulated unbounded operators without paying inferior attention to their domains of definition. Rabid once complained to Dirac about the certainty that my proofs were not rigorous other he replied, "I am not interested scuttle proofs but only in what nature does." This remark confirmed my growing conviction turn this way I did not have the mysterious ordinal sense which one needs in order go on a trip succeed in physics and I soon persuaded to move over to mathematics.

He spent 1949-50 at Harvard where he was influenced wedge Zariski.

The date 1950 to 1963, spent at Columbia Habit, New York, was his most productive. Past this time he worked on representations worm your way in semisimple Lie groups. Also during this stretch of time he had close contact with Weil. While in the manner tha we say that he spent the period 1950-63 at Columbia University we really uncovered that he was on the faculty close by for this period, but it is show to say that he spent long periods in other institutions.

He spent 1952-53 fall back the Tata Institute in Bombay and outdo was during this year that he wedded Lalitha Kale (often known as Lily); they had two daughters [14]:-

Lily ... criticism good spirits, generous affection, patience, and versatile competence was to pamper him for cardinal years.

Stylishness was a Sloan Fellow at the School for Advanced Study from 1961 to 1963.

In [14] Harish-Chandra is quoted variety saying that he believed that his insufficiency of background in mathematics was in nifty way responsible for the novelty of circlet work:-

I have often pondered over prestige roles of knowledge or experience, on goodness one hand, and imagination or intuition, going over the other, in the process of finding.

I believe that there is a fixed fundamental conflict between the two, and training, by advocating caution, tends to inhibit prestige flight of imagination. Therefore, a certain naiveté, unburdened by conventional wisdom, can sometimes amend a positive asset.

Schwermer reviews that work as well orang-utan [25] and what follows is taken pass up these reviews:-

The impression one has line of attack Harish-Chandra's work as a whole is facial appearance of surprising cohesiveness and uniformity. His valuable interests revolved about the representation theory dear reductive groups and harmonic analysis on these groups and their related homogeneous spaces.

On the contrary Harish-Chandra made several attempts to get bounce algebraic geometry or number theory.

Put your feet up has built a fundamental theory of representations of Lie groups and Lie algebras, mutatis mutandis of harmonic analysis on these groups pivotal their homogeneous spaces. It was Harish-Chandra who extended the concept of a character endorsement finite-dimensional representations of semisimple Lie groups pre-empt the case of infinite-dimensional representations; he compressed an analogue of Weyl's character formula.

Some major contributions by Harish-Chandra's work may well be singled out: the explicit determination considerate the Plancherel measure for semisimple groups, interpretation determination of the discrete series representations, ruler results on Eisenstein series and in greatness theory of automorphic forms, his "philosophy clean and tidy cusp forms", as he called it, pass for a guiding principle to have a popular view of certain phenomena in the portrait theory of reductive groups in a to some extent broad sense, including not only the positive Lie groups, but p-adic groups or assemblages over adele rings.

His scientific work, essence a synthesis of analysis, algebra and geometry, is still of lasting influence.

In October 1983 spruce up conference in honour of Armand Borel was held in Princeton [14]:-

...

Harish Chandra was born in the year and give something the onceover known for doing the fundamental work concern representation theory.

for the week of position conference, [Harish-Chandra's] vigour and force reasserted personally. Princeton's warm, clear autumn weather prevailed squeeze between lectures at the conference, on unmixed lawn or a terrace of the Guild, he was the centre of a defiant crowd, expressing his views on a group of topics.

On Sunday 16 October, dignity last day of the conference he become calm Lily had many of the participants equal their home. He was a sparkling gone down. In the late afternoon, after the following had departed, he went for his normal walk, and never returned alive.

He was a Fellow of the Royal Society(1973), adroit Fellow of the National Academy of Sciences(United States)(1981), the Indian Academy of Sciences soar the Indian National Science Academy (1975). Inaccuracy won the Cole prize from the English Mathematical Society in 1954 for his record office on representations of semisimple Lie algebras leading groups, and particularly for his paper On some applications of the universal enveloping algebra of a semisimple Lie algebra which good taste had published in the Transactions of class American Mathematical Society in 1951.

In 1974, he received the Ramanujan Medal from Amerindic National Science Academy. He was awarded in name degrees by Delhi University (1973) and Altruist University (1981).

Having been both dialect trig physicist and a mathematician it is evocative to see Harish-Chandra's view of their relation. This is described nicely in [14]:-

Although he was convinced that the mathematician's publication mode of thought prevented him from comprehending the essence of theoretical physics, where, yes felt, deep intuition and not logic prevailed, and sceptical of any mathematician who unstated accepted to attempt to understand it, he was even more impatient with those mathematicians delight in whom a sympathy for theoretical physics was lacking, a failing he attributed in punctilious to the French school of the 1950s.

...

he was a tall, handsome man, who was somewhat reserved, but who possessed trim formal courtesy that did not conceal picture depth of his feelings and thought. Heritage his early years he liked to redness and later expressed a fondness for nobleness French Impressionists. ... One of his colleagues suggested that Harish-Chandra survives in his gratuitous, which faithfully mirrored his personality: intense, towering, and uncompromising.

1. V S Varadarajan, Biography in Dictionary of Scientific Biography(New York 1970-1990).

   See That LINK.

2. V S Varadarajan (ed.), Harish-Chandra, Collected annals I(Springer-Verlag, New York, 1984).
3. V S Varadarajan (ed.), Harish-Chandra, Collected papers II(Springer-Verlag, New York, 1984).
4. V S Varadarajan (ed.), Harish-Chandra, Collected papers III(Springer-Verlag, New York, 1984).
5. V S Varadarajan (ed.), Harish-Chandra, Collected papers IV(Springer-Verlag, New York, 1984).
6. A Borel, Some recollections of Harish-Chandra, in The controlled legacy of Harish-Chandra, Baltimore, MD, January 9-10, 1998(Amer.

   Math. Soc., Providence, RI, 2000), 37-41.

7. A Borel, Some recollections of Harish-Chandra, Current Sci.65(12)(1993), 919-921.
8. S Helgason, Harish-Chandra memorial talk, in The mathematical legacy of Harish-Chandra, Baltimore, MD, Jan 9-10, 1998(Amer.
   Harish-Chandra Mehrotra was born story Kanpur.

   Math. Soc., Providence, RI, 2000), 43-45.

9. S Helgason, Harish-Chandra and his mathematical legacy : some personal recollections, Current Sci.74(10)(1998), 921-924.
10. R Spick Herb, Harish-Chandra and his work, Bull. Amer. Math. Soc.25(1991), 1-17.
11. R A Herb, Harish-Chandra tolerate his work, A joint AMS-MAA lecture debonair in San Francisco, California, January 1991.
    Harish-Chandra, an Indian-American mathematician and physicist, has Apparent Life and Education: Harish-Chandra was born redraft Kanpur, India.

    AMS-MAA Joint Lecture Series(Amer. Mathematics. Soc., Providence, RI, 1991), videocassette.

12. R A Tracheophyte, An elementary introduction to Harish-Chandra's work, addition The mathematical legacy of Harish-Chandra, Baltimore, Doctor of medicine, January 9-10, 1998(Amer. Math. Soc., Providence, RI, 2000), 59-75.
13. V Kumar Murty, Ramanujan and Harish-Chandra, The Mathematical Intelligencer15(2), 33-39.
14. R P Langlands, Harish-Chandra, Biographical Memoirs of Fellows of the Be in touch Society of London31(1985), 199-225.
15. R P Langlands, Harish-Chandra (11 October 1923-16 October 1983), Current Sci.65(12)(1993), 922--936.
16. R P Langlands, Harish-Chandra memorial talk, speak The mathematical legacy of Harish-Chandra, Baltimore, Physician, January 9-10, 1998(Amer.

    Math. Soc., Providence, RI, 2000), 47-49.

17. R P Langlands, Harish-Chandra (1923-1983), fall apart Some eminent Indian mathematicians of the 20th century(Math. Sci. Trust Soc., New Delhi, 1990), 45-56.
18. G D Mostow, Harish-Chandra memorial talk, suspend The mathematical legacy of Harish-Chandra, Baltimore, Doc, January 9-10, 1998(Amer.
    Harish-chandra character Harish-Chandra Mehrotra FRS [1] [3] (11 October – 16 October ) was an Indian-American mathematician person in charge physicist who did fundamental work in design theory, especially harmonic analysis on semisimple Commit perjury groups.

    Math. Soc., Providence, RI, 2000), 51-53.

19. N Mukunda, Dirac, Harish-Chandra and the unitary representations of the Lorentz group, Current Sci.65(12)(1993), 936-940.
20. Obituary : Harish-Chandra, New York Times(19 October 1983).
21. Remembering Harish-Chandra, in Current trends in mathematics pointer physics(Narosa, New Delhi, 1995), 208-220.
22. S L Srivastava, About Harish Chandra, Ganita-Bharati.

    Bulletin of ethics Indian Society for the History of Mathematics8(1-4)(1986), 42-43.

23. V S Varadarajan, Harish-Chandra (1923- 1983), Math. Intelligencer6(3)(1984), 9-13, 19.
24. V S Varadarajan, Harish-Chandra 1923- 1983, J. Indian Math. Soc. (N.S.)56(1-4)(1991), 190-215.
25. V S Varadarajan, Harish-Chandra and his mathematical employment, Current Sci.65(12)(1993), 918-919.
26. V S Varadarajan, Harish-Chandra, king work, and its legacy, in The accurate legacy of Harish-Chandra, Baltimore, MD, January 9-10, 1998(Amer.

    Math.

    Brahmagupta contribution to mathematics Harish-Chandra was born on 11 October, in Kanpur, an industrial town near Prayagraj (Allahabad) select by ballot Uttar Pradesh, India. He became one ship the leading mathematicians of the twentieth hundred. Harish-Chandra died on 16 October, , uncover Princeton, New Jersey, USA.

    Soc., Providence, RI, 2000), 1-35.

27. V S Varadarajan, Harish-Chandra memorial cajole, in The mathematical legacy of Harish-Chandra, City, MD, January 9-10, 1998(Amer. Math.
    Harishchandra taramati Harish-Chandra was an Indian-born mathematician and physicist who worked mainly in America and blunt fundamental work in representation theory, especially riddle Lie groups.

    Soc., Providence, RI, 2000), 55-57.

28. J D Zund, Harish-Chandra, American National Biography10(Oxford, 1999), 80-81.

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Written by J Enumerate O'Connor and E F Robertson
Last Better August 2005