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Lajos Pukánszky
Lajos Pukánszky (1928-1996) was a Hungarian and American mathematician noted for his work in representation theory of solvable Lie groups. He was born in Budapest on November 24, 1928, defended his thesis in 1955 at the University of Szeged under Béla Szőkefalvi-Nagy, but left Hungary in 1956. After taking several posts in the United States (at the Research Institute of Advanced Studies in Baltimore, the University of Maryland, College Park, Stanford University, UCLA), in 1965 he became a professor at the University of Pennsylvania, where he stayed until his retirement. He gave an invited address at the International Congress of Mathematicians in Nice in 1970. In 1988 a conference entitled "The Orbit Method in Representation Theory" was held at the University of Copenhagen in honor of his sixtieth birthday. He died on February 15, 1996, in Philadelphia. Scientific work Pukánszky's early work concerned von Neumann algebras and related subjects. In 1956 he constructed two nonisomo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Representation Theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by ''representing'' their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. In essence, a representation makes an abstract algebraic object more concrete by describing its elements by matrices and their algebraic operations (for example, matrix addition, matrix multiplication). The theory of matrices and linear operators is well-understood, so representations of more abstract objects in terms of familiar linear algebra objects helps glean properties and sometimes simplify calculations on more abstract theories. The algebraic objects amenable to such a description include groups, associative algebras and Lie algebras. The most prominent of these (and historically the first) is the representation theory of groups, in which elements of a group are represented by invertible matrices in such a way that the group operation i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kirillov Orbit Theory
In mathematics, the orbit method (also known as the Kirillov theory, the method of coadjoint orbits and by a few similar names) establishes a correspondence between irreducible unitary representations of a Lie group and its coadjoint orbits: orbits of the action of the group on the dual space of its Lie algebra. The theory was introduced by for nilpotent groups and later extended by Bertram Kostant, Louis Auslander, Lajos Pukánszky and others to the case of solvable groups. Roger Howe found a version of the orbit method that applies to ''p''-adic Lie groups. David Vogan proposed that the orbit method should serve as a unifying principle in the description of the unitary duals of real reductive Lie groups. Relation with symplectic geometry One of the key observations of Kirillov was that coadjoint orbits of a Lie group ''G'' have natural structure of symplectic manifolds whose symplectic structure is invariant under ''G''. If an orbit is the phase space of a ''G''-invar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1996 Deaths
File:1996 Events Collage.png, From left, clockwise: A bomb explodes at Centennial Olympic Park in Atlanta, set off by a radical anti-abortionist; The center fuel tank explodes on TWA Flight 800, causing the plane to crash and killing everyone on board; Eight people die in a blizzard on Mount Everest; Dolly the Sheep becomes the first mammal to have been cloned from an adult somatic cell; The Port Arthur Massacre occurs on Tasmania, and leads to major changes in Australia's gun laws; Macarena, sung by Los del Río and remixed by The Bayside Boys, becomes a major dance craze and cultural phenomenon; Ethiopian Airlines Flight 961 crash-ditches off of the Comoros Islands after the plane was hijacked; the 1996 Summer Olympics are held in Atlanta, marking the Centennial (100th Anniversary) of the modern Olympic Games., 300x300px, thumb rect 0 0 200 200 Centennial Olympic Park bombing rect 200 0 400 200 TWA FLight 800 rect 400 0 600 200 1996 Mount Everest disaster rect 0 200 30 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1928 Births
Nineteen or 19 may refer to: * 19 (number), the natural number following 18 and preceding 20 * one of the years 19 BC, AD 19, 1919, 2019 Films * ''19'' (film), a 2001 Japanese film * ''Nineteen'' (film), a 1987 science fiction film Music * 19 (band), a Japanese pop music duo Albums * ''19'' (Adele album), 2008 * ''19'', a 2003 album by Alsou * ''19'', a 2006 album by Evan Yo * ''19'', a 2018 album by MHD * ''19'', one half of the double album ''63/19'' by Kool A.D. * ''Number Nineteen'', a 1971 album by American jazz pianist Mal Waldron * ''XIX'' (EP), a 2019 EP by 1the9 Songs * "19" (song), a 1985 song by British musician Paul Hardcastle. * "Nineteen", a song by Bad4Good from the 1992 album '' Refugee'' * "Nineteen", a song by Karma to Burn from the 2001 album ''Almost Heathen''. * "Nineteen" (song), a 2007 song by American singer Billy Ray Cyrus. * "Nineteen", a song by Tegan and Sara from the 2007 album '' The Con''. * "XIX" (song), a 2014 song by Slipk ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Michèle Vergne
Michèle Vergne (born August 29, 1943, in L’Isle-Adam, Val d´Oise) is a French mathematician, specializing in analysis and representation theory. Life and work Michèle Vergne studied from 1962 to 1966 at the École Normal Supérieure de jeunes filles, which today is part of the ENS. She wrote her diploma thesis in 1966 with Claude Chevalley, entitled "Variété des algèbres de Lie nilpotentes" and her doctoral thesis in 1971 under the supervision of Jacques Dixmier ("Recherches sur les groupes et les algèbres de Lie") at the University of Paris. She is currently Directeur de Recherche at CNRS. Vergne worked in the construction of unitary representations of Lie groups using coadjoint orbits of the Lie algebras. She proved a generalized Poisson summation formula (called the Poisson-Plancherel formula), which is the integral of a function on adjoint orbits with their Fourier transformation integrals on coadjoint "quantized" orbits. Further, she studied the index the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jonathan Rosenberg (mathematician)
Jonathan Micah Rosenberg (born December 30, 1951 in Chicago, Illinois) is an American mathematician, working in algebraic topology, operator algebras, K-theory and representation theory, with applications to string theory (especially dualities) in physics. Rosenberg received his Ph.D. in 1976, under the supervision of Marc Rieffel, from the University of California, Berkeley (''Group C*-algebras and square integrable representations''). From 1977 to 1981 he was an assistant professor at the University of Pennsylvania. Since 1981, he has been at the University of Maryland at College Park where he is the Ruth M. Davis Professor of Mathematics. He is also a fellow of the American Mathematical Society (AMS). retrieved 2013-11-16. He studies operator algebras and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ádám Korányi
Ádám Korányi (born July 13, 1932, in Szeged) is a Hungarian and American mathematician. He is a Distinguished Professor of Mathematics and Computer Science at Lehman College, City University of New York and at the CUNY Graduate Center. His research interests include complex analysis, harmonic analysis, and quasiconformal mappings. __TOC__ Life and career Korányi earned his doctorate in 1959 from the University of Chicago under the supervision of Marshall Stone Marshall Harvey Stone (April 8, 1903 – January 9, 1989) was an American mathematician who contributed to real analysis, functional analysis, topology and the study of Boolean algebras. Biography Stone was the son of Harlan Fiske Stone, who wa .... He has been an external member of the Hungarian Academy of Sciences since 2001.Korányi Ádám Members of the public ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Richard Kadison
Richard Vincent Kadison (July 25, 1925 – August 22, 2018)Foreign Members list. . Accessed January 12, 2010 was an American known for his contributions to the study of s. Work Born in New York City in 1925, Kadison wa ...[...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
András Hajnal
András Hajnal (May 13, 1931 – July 30, 2016) was a professor of mathematics at Rutgers University and a member of the Hungarian Academy of Sciences known for his work in set theory and combinatorics. Biography Hajnal was born on 13 May 1931,Curriculum vitae in , . He received his university diploma (M.Sc. degree) in 1953 from the , his |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jacques Dixmier
Jacques Dixmier (born 24 May 1924) is a French mathematician. He worked on operator algebras, especially C*-algebras, and wrote several of the standard reference books on them, and introduced the Dixmier trace and the Dixmier mapping. Biography Dixmier received his Ph.D. in 1949 from the University of Paris, and his students include Alain Connes. In 1949 upon the initiative of Jean-Pierre Serre and Pierre Samuel, Dixmier became a member of Bourbaki, in which he made essential contributions to the Bourbaki volume on Lie algebras. After retiring as professor emeritus from the University of Paris VI, he spent five years at the Institut des Hautes Études Scientifiques. Often, there is made the erroneous claim that Dixmier originated the name ''von Neumann algebra'' for the operator algebras introduced by John von Neumann, but Dixmier said in an interview that the name originated from a proposal by Jean Dieudonné. Dixmier was an invited speaker at the International Congress o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
