1. Harish-Chandra Research Institute (Formerly Mehta Institute of Mathematics and Mathematical Physics). Allahabad, India. http://www.mri.ernet.in/

HRI About HRI Mathematics Physics ... Search Harish-Chandra Research Institute News in the month 2005-08 (2005-08-04) SERC Preparatory school will be held in HRI from November 6 26, 2005. Read more about Preparatory SERC school at HRI (2005-08-04) 9th Discussion Meeting on Harmonic Analysis will be held in HRI between 17th - 19th October 2005. Read more about 9th Discussion Meeting on Harmonic Analysis at HRI (2005-03-15) Interviews for admission to the graduate programmes in mathematics : The list of JEST 2005 candidates who have been selected for an interview, for admission to the graduate programmes in mathematics at HRI , has been announced. Read more about the mathematics interviews at HRI HRI (2005-03-11) Interviews for admission to the graduate programmes in physics : The JEST 2005 cutoff ranks, for an interview for admission to the graduate programmes in physics at HRI , have been announced. Read more about the physics interviews at HRI The Institute Harish-Chandra Research Institute ( HRI ) is an institution dedicated to research in mathematics, and in theoretical physics. It is located in Allahabad, India, and is funded by the Department of Atomic Energy, Government of India. Read more about HRI.

2. Harish-Chandra Research Institute This is the main page of the Web site of harishchandra Research Institute. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

3. Harish-Chandra harishchandra was born on 11 October, 1923 in Kanpur, an industrial town near The following biography of harish-chandra, by John J. O Connor and Edmund http://www.mri.ernet.in/hri/harish-chandra

HRI About HRI Mathematics ... HRI Harish-Chandra Administration Facilities Harish-Chandra Harish-Chandra was born on 11 October, 1923 in Kanpur, an industrial town near Allahabad in Uttar Pradesh, India. He became one of the leading mathematicians of the twentieth century. Harish-Chandra died on 16 October, 1983, in Princeton, New Jersey, USA. The following biography of Harish-Chandra, by John J. O'Connor and Edmund F. Robertson, and the accompanying photograph, are from the MacTutor History of Mathematics Archive , at the University of St. Andrews, Scotland. A brief biography Harish-Chandra attended school in Kanpur, then attended the University of Allahabad. Here he studied theoretical physics, this direction being the result of studying Paul Dirac's treatise [ ] on quantum mechanics. He was awarded a master's degree in 1943, and then went to Bangalore to work further on theoretical physics. After a short while, Harish-Chandra went to Cambridge, where he studied for his Ph.D. under Dirac's supervision. During his time in Cambridge, he moved away from physics, and became more interested in mathematics. While at Cambridge, he attended a lecture by Pauli, and pointed out a mistake in Pauli's work. The two were to become life long friends. Harish-Chandra obtained his degree in 1947 and, in the same year, he went to the USA. In [ ], Harish-Chandra is quoted as saying that he believed that his lack of background in mathematics was, in a way, responsible for the novelty of his work:

4. S.D. Adhikari harishchandra Research Institute. Arithmetical functions, transcendence, and Ramsey-type questions in combinatorial number theory. List of publications. http://www.mri.ernet.in/math/adhikari

HRI About HRI Mathematics ... Timetable S.D. Adhikari Email address Areas of interest Number theory, and combinatorics Current research Arithmetical functions, transcendence, and Ramsey-type questions in combinatorial number theory. Selected publications On an error term related to the Jordan totient function J_k(n) Lattice points in ellipsoids Towards the exact nature of a certain error term II On a question regarding visibility of lattice points Transcendental infinite sums Home page Read more about S.D. Adhikari Mathematics: Research People ... Search Harish-Chandra Research Institute Chhatnag Road Jhusi Allahabad India Phone: +91 (532) 2667 510, 2667 511, 2668 311, 2668 313, 2668 314 Fax: +91 (532) 2567 748, 2567 444 About this page HRI Webadmin Updated: 2005-02-09T09:21:49Z

5. HCM Rajasthan State Institute Of Public Administration Link to Mail Server http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

6. Harish-Chandra Biography of harishchandra (1923-1983) harish-chandra attended school inKanpur, then attended the University of Allahabad. Here he studied theoretical http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Harish-Chandra.html

Harish-Chandra Born: 11 Oct 1923 in Kanpur, Uttar Pradesh, India Died: 16 Oct 1983 in Princeton, New Jersey, USA Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Harish-Chandra 's mother was Satyagati Seth, who was the daughter of the lawyer Ram Sanehi Seth, and his father was Chandrakishore who was a civil engineer. Chandrakishore had been educated at the Thomason Engineering College at Roorkee, then entered the Indian Service of Engineers and the first part of his career was [14]:- ... spent in the field, usually on horseback, inspecting and maintaining the dikes of the extensive network of canals in the northern plains. Since Harish-Chandra's father spent most of his time travelling around the country inspecting canals, Harish-Chandra spent most of his childhood living in his maternal grandfather's home in Kanpur. Ram Sanehi Seth was a wealthy man with a large house which was home to many of his relatives. Harish-Chandra, despite being a rather weakly child, did sometimes spend time travelling with his father. His education was treated by the family as of the utmost importance [14]:- A tutor was hired, and there were visits from a dancing master and a music master. At the age of nine he was enrolled, younger than his schoolmates, in the seventh class. He completed Christ Church High School at fourteen, and remained in Kanpur for intermediate college, which he finished at sixteen ...

7. Kalyan Chakraborty harishchandra Research Institute. Contact information. http://www.mri.ernet.in/math/kalyan

HRI About HRI Mathematics ... Timetable Kalyan Chakraborty Email address Areas of interest Number theory Home page Read more about Kalyan Chakraborty Mathematics: Research People ... Search Harish-Chandra Research Institute Chhatnag Road Jhusi Allahabad India Phone: +91 (532) 2667 510, 2667 511, 2668 311, 2668 313, 2668 314 Fax: +91 (532) 2567 748, 2567 444 About this page HRI Webadmin Updated: 2004-11-08T10:43:35Z

8. Classification Of Simple Harish-Chandra Modules Over Q-Virasoro We give a complete classification of simple Harish Chandra modules over Q Virasoro algebra. Introduction A classification of the simple Harish http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. Harish-Chandra Portraits Portraits of harishchandra. Copyright information.http//www-history.mcs.st-andrews.ac.uk/history/PictDisplay/harish-chandra.html. http://www-groups.dcs.st-and.ac.uk/~history/PictDisplay/Harish-Chandra.html

Harish-Chandra JOC/EFR August 2005 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/PictDisplay/Harish-Chandra.html

10. B. Ramakrishnan harishchandra Research Institute. Number theory and automorphic forms. http://www.mri.ernet.in/math/ramki

HRI About HRI Mathematics ... Timetable B. Ramakrishnan Email address Areas of interest Number theory, and automorphic forms Home page Read more about B. Ramakrishnan Mathematics: Research People ... Search Harish-Chandra Research Institute Chhatnag Road Jhusi Allahabad India Phone: +91 (532) 2667 510, 2667 511, 2668 311, 2668 313, 2668 314 Fax: +91 (532) 2567 748, 2567 444 About this page HRI Webadmin Updated: 2004-11-08T10:43:35Z

11. Harish-Chandra About harishchandra - http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

12. Dr. Harish Chandra's Website Hi I'm Dr. Harish Chandra, the Librarian of Central Library IIT Madras India, warmly welcome you for browsing my personal website. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

13. Bhartendu Harish Chandra Bhartendu Harish Chandra was born on 09 September 1850 in a distinguished and opulent Agarwal family of Varanasi. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

14. UNIFEED Harish Chandra talking to local residents From one house to the next, UNICEF staff hearing the same story. SOUNDBITEDr. Harish Chandra http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

15. Chaudhri Harish Chandra, Compare Book Prices, New Used Books Chaudhri Harish Chandra, find the lowest price on new, used, out of print books http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

16. Ashoke Sen, Harish-Chandra Institute 28 first prev Ashoke Sen, harishchandra Institute 28 NEXT last first prev Ashoke Sen, harish-chandra Institute 28 NEXT last http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

17. Harish-Chandra - Wikipedia, The Free Encyclopedia See Harishchandra for the character in Hindu mythology. harishchandra (11 October1923-16 Retrieved from http//en.wikipedia.org/wiki/harish-chandra http://en.wikipedia.org/wiki/Harish-Chandra

Wikimedia needs your help in its 21-day fund drive. See our fundraising page Over US$155,000 has been donated since the drive began on 19 August. Thank you for your generosity! Harish-Chandra From Wikipedia, the free encyclopedia. See Harishchandra for the character in Hindu mythology Harish-Chandra 11 October 16 October ) was an Indian mathematician , who did fundamental work in representation theory . He was born in Kanpur India and died in Princeton, New Jersey USA . 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. 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.

18. Harish Chandra Research Institute - Cluster Computing Publications Benchmarks Pictures People Resources Top HPC Facilities Local Users harishchandra Research Institute http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

19. Harish-Chandra Modules For Yangians that every character of Gamma defines a finite number of irreducible harishchandramodules. We study the categories of generic harish-chandra modules, http://www.maths.usyd.edu.au/u/pubs/publist/preprints/2002/futorny-20.html

Preprint Harish-Chandra modules for Yangians V. Futorny, A. Molev and S. Ovsienko Abstract We study Harish-Chandra representations of the Yangian Y(gl(2)) which admit a decomposition with respect to a natural maximal commutative subalgebra Gamma and satisfy a polynomial condition. We prove an analogue of Kostant theorem showing that the restricted Yangian Y_p(gl(2)) is a free module over Gamma and show that every character of Gamma defines a finite number of irreducible Harish-Chandra modules. We study the categories of generic Harish-Chandra modules, describe their simple modules and indecomposable modules in tame blocks. This paper is available as a gzipped dvi (61 kB) file and a PDF (400 kB) file. Date:Wednesday, December 4, 2002 Back to preprint page.

20. Harish-Chandra's Plancherel Formula What is described by harishchandra is the support of the Plancherel The Plancherel formula of harish-chandra is a very beautiful and complex result. http://www.math.leidenuniv.nl/~stieltjes/archief/rep9899/node15.html

Next: Langlands reciprocity Up: Representation Theory of Algebraic Previous: Reductive algebraic groups Harish-Chandra's Plancherel formula For real reductive groups the Plancherel formula was found by Harish-Chandra, in 1976, after a monumental effort that took him more than 20 years. What is described by Harish-Chandra is the support of the Plancherel measure, the part of that is usually called the tempered dual . What comes out of the analysis of Harish-Chandra is, roughly, that the tempered representations arise in series of various dimensions that are parametrized by the dual groups of the maximal tori of . We count the maximal tori of modulo conjugacy, and we consider the dual modulo the action of a certain finite group called the Weyl group of The Plancherel formula of Harish-Chandra is a very beautiful and complex result. To obtain this result it was necessary to introduce numerous new notions. One of the cornerstones is the construction of the so called discrete series . These representations can be viewed as the basic building blocks for general tempered representations. Harish-Chandra has given a complete classification of the discrete series representations of any real reductive group The construction of tempered representations of real reductive groups is reasonably well understood at present. Modern constructions are based on geometric (cohomological) methods. The precise classification of the irreducible tempered representations requires a complicated and detailed study of reducibility questions for singular induced representations. This problem was solved by Knapp and Zuckerman in 1977.

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