1. Harish-Chandra Research Institute Pratishthanpur. Positions at HRI. Web Mail. Contacts. Web Directory. SearchHRI. Search DAE. Wildlife at HRI. © harishchandra Research Institute. http://www.mri.ernet.in/

Formerly known as the Mehta Research Institute of Mathematics and Mathematical Physics NEW In the News Institute Annual Report, 2002-2003 Mathematics application material for JEST, 2004 The HRI-IGNOU Integrated Ph.D. Program JEST: Joint Entrance Screening Test, 2004 Positions at HRI Web Mail Contacts Web Directory Search HRI Search DAE document.write("Last Updated:" +document.lastModified ); © Harish-Chandra Research Institute

2. Harish-Chandra Research Insitute - School Of Mathematics We have faculty working in number theory (algebraic, analytic, combinatorial),lie groups, representation theory, group theory, algebraic groups, harmonic http://www.mri.ernet.in/~mathweb/

Home Mathematics We have faculty working in number theory (algebraic, analytic, combinatorial), lie groups, representation theory, group theory, algebraic groups, harmonic analysis and differential geometry. The institute and the school of mathematics are in a state of rapid growth, and we expect more areas to be represented. We have active doctoral and post-doctoral programmes. Here you can get more information about the admissions for the doctoral programmes. For information on post-doctoral positions, please write to Prof. R. Kulkarni ( director@mri.ernet.in This year's (2003) application form and question paper is available on I.M.Sc. webpage. This is the list of candidates selected for JRF (Mathematics) at HRI this year. The Institute seeks applications for faculty positions in all areas of Pure Mathematics. Applicant could be of any nationality. The Institute has only graduate programme and the teaching load is typically one semester long course per year at the graduate level. Selected candidates are given essentially free on-campus accommodation besides an attractive salary (for Indian conditions!). There is a policy of generous leave and travel support. Exceptional candidates can be offered joint appointments. We have VSSP ( Visiting Student Summer Programme ) for undergraduate ( B.Sc. and M.Sc.) students every summer. More details on the VSP can be obtained

3. Harish-Chandra Biography of harishchandra (1923-1983) harish-chandra. Born 11 Oct 1923 in Kanpur, Uttar Pradesh, India harish-chandra attended school in Kanpur, then attended the University of Allahabad 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 Harish-Chandra attended school in Kanpur, then attended the University of Allahabad. Here he studied theoretical physics, this direction being the result of studying Principles of Quantum Mechanics by Dirac . He was awarded a master's degree in 1943 and then he 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, the same year, he went to the USA. Dirac visited Princeton for one year and Harish-Chandra worked as his assistant during this time. However he was greatly influenced by

4. S. D. Adhikari harishchandra Research Institute. Number theory and combinatorics. List of publications. http://www.mri.ernet.in/~mathweb/adhikari.html

Sukumar Das Adhikari click to enlarge Email adhikari@mri.ernet.in Professor ( Mathematics) Academic Qualifications M. Sc. in Pure Mathematics from University of Burdwan. Ph. D. in Mathematics from the Institute of Mathematical Sciences, Madras (Degree awarded by the University of Madras). Thesis supervisor : Prof. R. Balasubramanian. Mathematical Interests : Number Theory and Combinatorics. Research Papers On an error term related to the greatest divisor of $n$, which is prime to $k$. (Written jointly with R. Balasubramanian and A. Sankaranarayanan) Indian J. Pure Appl. Math. (with R. Balasubramanian and A. Sankaranarayanan) Hardy - Ramanujan Journal On an error term related to the Jordan totient function $J_k(n)$. (Written jointly with A. Sankaranarayanan) J. Number Theory 34, no 2., 178-188 (1990). A note on a certain error term. (Written jointly with R. Balasubramanian) Arch. Math. Acta Arithmetica 57, no. 2, 83-92 (1991) Lattice points in ellipsoids. Acta Arithmetica 59, no. 4, 329-338 (1991) Towards the exact nature of a certain error term.

5. Harish-Chandra harishchandra. Born 11 Oct harish-chandra attended school in Kanpur,then attended the University of Allahabad. Here he studied http://www-gap.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 Harish-Chandra attended school in Kanpur, then attended the University of Allahabad. Here he studied theoretical physics, this direction being the result of studying Principles of Quantum Mechanics by Dirac . He was awarded a master's degree in 1943 and then he 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, the same year, he went to the USA. Dirac visited Princeton for one year and Harish-Chandra worked as his assistant during this time. However he was greatly influenced by

6. Instructional Conference On Algebraic Number Theory harishchandra Research Institute, Allahabad, India; 825 November 2000. http://www.mri.ernet.in/~mathweb/numbertheory2000/

HRI Main Page Mathematics Advanced Instructional Workshop on Algebraic Number Theory (with special reference to Elliptic Curves) (November 8 25, 2000) This workshop will be followed by an International Conference on Number Theory from November 26 to November 29, 2000. Useful Links: Topics to be covered Weekly Schedule List of Speakers Local Coordinators: Dr. S. D. Adhikari. Cabin No. 3, Phone No. (O) 2017, (R) 4017 e-mail: Dr. B. Ramakrishnan Cabin No. 6, Phone No. (O) 2019, (R) 4019 e-mail: Organizing Committee HRI Math Page HRI Main Page Last modified: Sun Nov 5 03:01:50 IST 2000 by Shripad

7. A Quotation By Harish-Chandra A quotation by harishchandra. Quoted in R Langlands, harish-chandra, BiographicalMemoirs of Fellows of the Royal Society 31 (1985) 197 - 225. http://www-gap.dcs.st-and.ac.uk/~history/Quotations/Harish-Chandra.html

A quotation by Harish-Chandra I have often pondered over the roles of knowledge or experience, on the one hand, and imagination or intuition, on the other, in the process of discovery. I believe that there is a certain fundamental conflict between the two, and knowledge, by advocating caution, tends to inhibit the flight of imagination. Therefore, a certain naivete, unburdened by conventional wisdom, can sometimes be a positive asset. Quoted in R Langlands, Harish-Chandra, Biographical Memoirs of Fellows of the Royal Society Main index Quotations index Biographies Index History Topics ... Anniversaries for the year JOC/EFR February 2003 The URL of this page is: School of Mathematics and Statistics University of St Andrews, Scotland http://www-history.mcs.st-andrews.ac.uk/Quotations/Harish-Chandra.html

8. Instructional School On Linear Algebra harishchandra Research Institute, Allahabad, India; 315 December 2001. http://www.mri.ernet.in/~mathweb/linalg.html

Instructional School On Linear Algebra December 3-15, 2001 at Harish-Chandra Research Institute, Allahabad sponsored by Indian Academy of Sciences, Bangalore In December 1999 the Indian Academy of Sciences sponsored an intensive course on Linear Algebra at Panjab University, Chandigarh.The objective of the course were to help the participants broaden their knowledge, and to develope problem-solving abilities. The course was attended by about 30 college/university teachers and research students from all over India. A second course on Linear Algebra will now be held at Harish-Chandra Research Institute, Allahabad. About 30 college/university teachers will be invited to attend.There will be formal lectures and many problem sessions and discussions in which all attending the course are expected to participate. Outlines of the course: Matrix analysis: Eigenvalues and singular values, convexity, majorisation, variational principles. Classical groups and representation theory of finite groups. Infinite linear groups.

9. The Kernel Of An Homomorphism Of Harish-Chandra - Levasseur, Sta (ResearchIndex) The Kernel Of An Homomorphism Of harishchandra (1995) Staord, The kernel of an homomorphism of harish-chandra, Ann. Sci. Ecole Norm http://citeseer.nj.nec.com/levasseur95kernel.html

The Kernel Of An Homomorphism Of Harish-Chandra (1995) (Make Corrections) (3 citations) T. Levasseur, J. T. Stafford Ann. Sci. Ecole Norm. Sup., to appear. Home/Search Context Related View or download: maths2.univbrest.fr/~lev hcker.ps.gz Cached: PS.gz PS PDF DjVu ... Help From: maths2.univbrest.fr/~le papers (more) (Enter author homepages) Rate this article: (best) Comment on this article (Enter summary) Abstract: Let g be a reductive, complex Lie algebra, with adjoint group G, let G act on the ring of differential operators D(g) via the adjoint action and write : g ! D(g) for the differential of this action. A classic result of Harish-Chandra shows that any invariant differential operator that kills O(g) G , the algebra of invariant functions on g, also kills all invariant distributions on a real form of g. In this paper we generalize this result by showing that D(g) (g) = 2 D(g) : O(g) G = : This... (Update) Context of citations to this paper: More ...is implicit in [12] for sake of completeness we indicate a proof. Lemma 6.2. dimC(g) dim g rk g. 11 Actually, J = D(g) g) has been proved

10. Harish-Chandra - Encyclopedia Article About Harish-Chandra. Free Access, No Regi encyclopedia.thefreedictionary.com/Harishchandra More results from encyclopedia.thefreedictionary.com harishchandraReturn to World History (home) Main Article Index harish-chandra. harish-chandrain the news. harish-chandra (11 October 1923-16 http://encyclopedia.thefreedictionary.com/Harish-Chandra

Dictionaries: General Computing Medical Legal Encyclopedia Harish-Chandra Word: Word Starts with Ends with Definition Harish-Chandra 11 October October 11 is the 284th day of the year (285th in Leap years). There are 81 days remaining. Events 1614 - Adriaen Block and 12 Amsterdam merchants petition the States General for exclusive trading rights in the New Netherland colony. 1776 - American Revolution: Battle of Valcour Island - On Lake Champlain near Valcour Island, a British fleet led by Sir Guy Carleton defeats 15 American gunboats commanded by Brigadier General Benedict Arnold. Although nearly all of Arnold's ships are destroyed, the two day-long battle will give Patriot forces enough time to prepare defenses of New York City. Click the link for more information. Centuries: 19th century - 20th century - 21st century Decades: 1870s 1880s 1890s 1900s 1910s - Years: 1918 1919 1920 1921 1922 - Events January 1 - Grouping of all UK railway companies into four larger companies January 10 - Lithuania seizes and annexes Memel January 11 - Troops from France and Belgium occupy the Ruhr area to force Germany to pay its reparation payments Click the link for more information.

11. Harish-Chandra's Plancherel Formula groups harishchandra s Plancherel formula. of . The Plancherel formulaof harish-chandra is a very beautiful and complex result. http://www.stieltjes.org/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.

12. Ashoke Sen, Harish-Chandra Institute 41 first prev Ashoke Sen, harishchandra Institute 41 next last. first prev Ashoke Sen, harish-chandra Institute 41 next last http://online.itp.ucsb.edu/online/mtheory01/sen1/oh/41.html

first prev ] [Ashoke Sen, Harish-Chandra Institute 41] [next] [last] first prev ] [Ashoke Sen, Harish-Chandra Institute 41] [next] [last]

13. Citation Taa Harish Chandra Award TATA INSTITUTE OF FUNDAMENTAL RESEARCH Homi Bhabha Road, Mumbai 400005. TAA harish-chandra MEMORIAL AWARD 2000-2001. CITATION. Dr http://www.tifr.res.in/~endowment/HTML/Write-ups/citation_raghuram.html

TATA INSTITUTE OF FUNDAMENTAL RESEARCH Homi Bhabha Road, Mumbai 400 005 TAA - HARISH-CHANDRA MEMORIAL AWARD 2000-2001 CITATION Dr. A. Raghuram is selected for the TAA- Harish-Chandra Memorial Award for Mathematics and Computer Science for his Ph.D. thesis titled "Some Topics in Algebraic Groups". Representation theory of Lie Groups, a deep and central area of Mathematics is essentially the creation of Harish-Chandra. Dr. Raghuram's Ph.D. thesis is an excellent recent contribution to this theory. Dr. Raghuram's thesis takes the first steps towards our understanding of representations of the p-adic group GL(2,D), where D is a finite dimensional central division algebra over a p-adic field. The central theme is the development of a Kirillov theory for these groups along the lines of Jaquet and Langlands for GL (2) over the p-adic field. The thesis contains many interesting new results and ideas and the back-ground information used is very impressive. Many of the results in the thesis have recently appeared in the prestigious Duke Mathematics Journal in a joint paper with D. Prasad. PROFILE A Raghuram (b: 1971): Obtained B.Tech. in Computer Science and Engineering from I.I.T. Kanpur in 1992. Had earlier secured 5th rank in Indian National Mathematics Olympiad (1987) and 2nd rank in All India IIT-JEE (1988). Joined School of Mathematics, TIFR in August, 1992 and worked for his Ph.D. thesis under the supervision of Prof. Dipendra Prasad and Prof. M.S. Raghunathan. Spent two years (July 1999 to July 2001) on a post-doctoral assignment at University of Toronto, Toronto, Canada. Since August, 2001, a Visiting Fellow in School of Mathematics, TIFR.

14. Résultats De La Recherche Translate this page Auteur harish-chandra (1 articles) harish-chandra Invariant eigendistributionson a semisimple Lie algebra. Publications Mathématiques http://www.numdam.org/numdam-bin/recherche?h=aur&aur=Harish-Chandra&format=short

15. Harish-Chandra Modules For Yangians Preprint. harishchandra modules for Yangians. V. Futorny, A. Molevand S. Ovsienko. Abstract. We study harish-chandra representations http://www.maths.usyd.edu.au:8000/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.

16. A Capelli Harish-Chandra Homomorphism A Capelli harishchandra Homomorphism For a In terms of the harish-chandraisomorphism, this map involves a rho-shift . We view http://crystal.ou.edu/~tprzebin/chch.html

A Capelli Harish-Chandra Homomorphism For a real reductive dual pair the Capelli identities define a homomorphism "C" from the center of the universal enveloping algebra of the larger group to the center of the universal enveloping algebra of the smaller group. In terms of the Harish-Chandra isomorphism, this map involves a "rho-shift". We view a dual pair as a Lie supergroup and offer a construction of the homomorphism "C" based solely on the Harish-Chandra's radial component maps.. Appeared in Transactions of the AMS. 356, 11211154 (2003).

17. Fiche Document -Harish-Chandra And His Work Translate this page Video - Cote 00025018 harish-chandra and His Work Herb, Rebecca A. (Principal)Providence American mathematical society 01/01/1991 géométrie groupes http://bibli.cirm.univ-mrs.fr/Document.htm&numrec=031135313931710

18. Gregg Zuckerman At MSRI - A Generalization Of Harish-Chandra's Discrete Series T MSRI Streaming Video Series Gregg Zuckerman A generalization of harish-chandra sdiscrete series to Lie superalgebras A PDF version http://www.msri.org/publications/ln/msri/2002/ssymmetry/zuckerman/1/

MSRI Streaming Video Series Gregg Zuckerman - A generalization of Harish-Chandra's discrete series to Lie superalgebras A PDF version of the lecture notes is available here

19. A Harish-Chandra Homomorphism For Reductive Group Actions. A harishchandra Homomorphism for Reductive Group Actions. Let Gbe a connected reductive group and Xa smooth G-variety. Theorem http://www.math.rutgers.edu/~knop/papers/HC.html

A Harish-Chandra Homomorphism for Reductive Group Actions. Let G be a connected reductive group and X a smooth G-variety. Theorem : Assume that X is either spherical or affine. Then the center Z(X) of the ring of G-invariant differential operators on X is a polynomial ring. More precisely, Z(X) is isomorphic to the ring of invariants of a finite reflection group. Appeared in: Annals of Mathematics, Series II Available files: DVI-file (needs the symbol font Postscript file Pdf-file Original article (Jstor) Index Friedrich Knop / knop@math.rutgers.edu / October 26, 2000

20. SPIRES-INST: FIND+ICNCP+HARISH-CHANDRA%20RES.%20INST. Database INST (USPIRESSLAC) Search Command FIND ICNCP harish-chandraRES. INST. Result 1 record found harish-chandra Res. Inst. http://usparc.ihep.su/spires/find/inst/www?icncp=Harish-Chandra Res. Inst.

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