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Thomas Jones Enright
Thomas Jones Enright (August 15, 1947 – January 27, 2019) was an American mathematician known for his work in the algebraic theory of representations of real reductive Lie groups. Biography Enright received a B.S. from Harvard University in 1969 and a Ph.D. in 1973 from the University of Washington under the direction of Ramesh A. Gangolli. From 1973 to 1975 he was the Hedrick Assistant Professor in UCLA working with Veeravalli S. Varadarajan, and spent the 1976-1977 year after in the Institute for Advanced Study at Princeton, N. J. before starting at University of California at San Diego in 1977. He was chair of the mathematics department of UCSD from 1986 to 1990. In 2010 he retired due to symptoms of Parkinson's disease. Contributions In the mid-1970s, Enright introduced new methods that led him to an algebraic way of looking at discrete series (which were fundamental representations constructed by Harish-Chandra in the early 1960s), and to an algebraic proof of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
UCSD
The University of California, San Diego (UC San Diego or colloquially, UCSD) is a public land-grant research university in San Diego, California. Established in 1960 near the pre-existing Scripps Institution of Oceanography, UC San Diego is the southernmost of the ten campuses of the University of California, and offers over 200 undergraduate and graduate degree programs, enrolling 33,096 undergraduate and 9,872 graduate students. The university occupies near the coast of the Pacific Ocean, with the main campus resting on approximately . UC San Diego is ranked among the best universities in the world by major college and university rankings. UC San Diego consists of twelve undergraduate, graduate and professional schools as well as seven undergraduate residential colleges. It received over 140,000 applications for undergraduate admissions in Fall 2021, making it the second most applied-to university in the United States. UC San Diego Health, the region's only academic health s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Blattner's Conjecture
In mathematics, Blattner's conjecture or Blattner's formula is a description of the discrete series representations of a general semisimple group ''G'' in terms of their restricted representations to a maximal compact subgroup ''K'' (their so-called ''K''-types). It is named after Robert James Blattner, despite not being formulated as a conjecture by him. Statement Blattner's formula says that if a discrete series representation with infinitesimal character λ is restricted to a maximal compact subgroup ''K'', then the representation of ''K'' with highest weight μ occurs with multiplicity :\sum_\epsilon(\omega)Q(w(\mu+\rho_c)-\lambda-\rho_n) where :''Q'' is the number of ways a vector can be written as a sum of non-compact positive roots :WK is the Weyl group of ''K'' :ρc is half the sum of the compact roots :ρn is half the sum of the non-compact roots :ε is the sign character of WK. Blattner's formula is what one gets by formally restricting the Harish-Chandra character formula ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of California, San Diego Faculty
A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. ''University'' is derived from the Latin phrase ''universitas magistrorum et scholarium'', which roughly means "community of teachers and scholars". Universities typically offer both undergraduate and postgraduate programs. The first universities in Europe were established by Catholic Church monks. The University of Bologna (), Italy, which was founded in 1088, is the first university in the sense of: *being a high degree-awarding institute. *using the word ''universitas'' (which was coined at its foundation). *having independence from the ecclesiastic schools and issuing secular as well as non-secular degrees (with teaching conducted by both clergy and non-clergy): grammar, rhetoric, logic, theology, canon law, notarial law.Hunt Janin: "The university in medieval life, 1179–1499", McFarland, 2008, , p. 55f.de Ridder-Symoens, Hilde' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
21st-century American Mathematicians
The 1st century was the century spanning AD 1 (Roman numerals, I) through AD 100 (Roman numerals, C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or History by period, historical period. The 1st century also saw the Christianity in the 1st century, appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius (AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and inst ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
2019 Deaths
This is a list of deaths of notable people, organised by year. New deaths articles are added to their respective month (e.g., Deaths in ) and then linked here. 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 1990 1989 1988 1987 See also * Lists of deaths by day * Deaths by year {{DEFAULTSORT:deaths by year ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Michel Duflo
Michel Duflo (born 15 August 1943) is a French mathematician who works in the representation theory of Lie groups. Life From 1962, Duflo studied at the École normale supérieure and received a doctorate under the supervision of Jacques Dixmier. Currently, he is an emeritus professor at the University of Paris VII (Denis Diderot) at the Institut de Mathématiques de Jussieu, and at the École normale supérieure. Duflo has worked on the orbit method of Alexander Kirillov. He introduced the Duflo isomorphism, an isomorphism between the center of the enveloping algebra of a finite-dimensional Lie algebra and the invariants of its symmetric algebra. In 1974 he was an invited speaker at the International Congress of Mathematicians in Vancouver (''Inversion formula and invariant differential operators on solvable Lie groups''). Duflo received the Prix Le Conte of the French Academy of Sciences; in 1986 he became a corresponding member of the Academy. His students include Laure ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Séminaire Nicolas Bourbaki
The Séminaire Nicolas Bourbaki (Bourbaki Seminar) is a series of seminars (in fact public lectures with printed notes distributed) that has been held in Paris since 1948. It is one of the major institutions of contemporary mathematics, and a barometer of mathematical achievement, fashion, and reputation. It is named after Nicolas Bourbaki, a group of French and other mathematicians of variable membership. The Poincaré Seminars are a series of talks on physics inspired by the Bourbaki seminars on mathematics. 1948/49 series # Henri Cartan, Les travaux de Koszul, I ( Lie algebra cohomology) # Claude Chabauty, Le théorème de Minkowski-Hlawka ( Minkowski-Hlawka theorem) # Claude Chevalley, L'hypothèse de Riemann pour les corps de fonctions algébriques de caractéristique p, I, d'après Weil ( local zeta-function) # Roger Godement, Groupe complexe unimodulaire, I : Les représentations unitaires irréductibles du groupe complexe unimodulaire, d'après Gelfand et Neumark ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alfred P
Alfred may refer to: Arts and entertainment *'' Alfred J. Kwak'', Dutch-German-Japanese anime television series * ''Alfred'' (Arne opera), a 1740 masque by Thomas Arne * ''Alfred'' (Dvořák), an 1870 opera by Antonín Dvořák *"Alfred (Interlude)" and "Alfred (Outro)", songs by Eminem from the 2020 album '' Music to Be Murdered By'' Business and organisations * Alfred, a radio station in Shaftesbury, England * Alfred Music, an American music publisher *Alfred University, New York, U.S. * The Alfred Hospital, a hospital in Melbourne, Australia People * Alfred (name) includes a list of people and fictional characters called Alfred * Alfred the Great (848/49 – 899), or Alfred I, a king of the West Saxons and of the Anglo-Saxons Places Antarctica * Mount Alfred (Antarctica) Australia * Alfredtown, New South Wales * County of Alfred The County of Alfred is one of the 49 cadastral counties of South Australia on the south banks of the River Murray. It was proclaimed by Go ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Functor
In mathematics, specifically category theory, a functor is a mapping between categories. Functors were first considered in algebraic topology, where algebraic objects (such as the fundamental group) are associated to topological spaces, and maps between these algebraic objects are associated to continuous maps between spaces. Nowadays, functors are used throughout modern mathematics to relate various categories. Thus, functors are important in all areas within mathematics to which category theory is applied. The words ''category'' and ''functor'' were borrowed by mathematicians from the philosophers Aristotle and Rudolf Carnap, respectively. The latter used ''functor'' in a linguistic context; see function word. Definition Let ''C'' and ''D'' be categories. A functor ''F'' from ''C'' to ''D'' is a mapping that * associates each object X in ''C'' to an object F(X) in ''D'', * associates each morphism f \colon X \to Y in ''C'' to a morphism F(f) \colon F(X) \to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harish-Chandra
Harish-Chandra FRS (11 October 1923 – 16 October 1983) was an Indian American mathematician and physicist who did fundamental work in representation theory, especially harmonic analysis on semisimple Lie groups. Early life Harish-Chandra was born in Kanpur. He was educated at B.N.S.D. College, Kanpur and at the University of Allahabad. After receiving his master's degree in Physics in 1943, he moved to the Indian Institute of Science, Bangalore for further studies under Homi J. Bhabha. In 1945, he moved to University of Cambridge, and worked as a research student under Paul Dirac. While at Cambridge, he attended lectures by Wolfgang Pauli, and during one of them pointed out a mistake in Pauli's work. The two were to become lifelong friends. During this time he became increasingly interested in mathematics. At Cambridge he obtained his PhD in 1947. Honors and awards He was a member of the National Academy of Sciences and a Fellow of the Royal Society. He was the recipient ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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