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Alexandre Kirillov information


Alexander Kirillov
Born (1936-05-09) May 9, 1936 (age 88)
Moscow, Soviet Union
NationalityRussian
Alma materMoscow State University
Known forKirillov character formula
Kirillov orbit theory
Kirillov model
Scientific career
FieldsMathematics
InstitutionsUniversity of Pennsylvania
Moscow State University
Thesis Unitary representations of nilpotent Lie groups  (1962)
Doctoral advisorIsrael Gelfand
Doctoral studentsAlexei Borodin
Victor Ginzburg
David Kazhdan
Alexander Molev
Andrei Okounkov
Andrei Zelevinsky

Alexandre Aleksandrovich Kirilloff (Russian: Алекса́ндр Алекса́ндрович Кири́ллов, born 1936) is a Soviet and Russian mathematician,[1] known for his works in the fields of representation theory, topological groups and Lie groups. In particular he introduced the orbit method[2] into representation theory. He is an emeritus professor at the University of Pennsylvania.

  1. ^ Marathe, Kishore (2010-08-18). Topics in Physical Mathematics. Springer. pp. 420–. ISBN 9781848829381. Retrieved 10 August 2012.
  2. ^ Huang, Jing-Song (1999). Lectures on Representation Theory. World Scientific. pp. 163–. ISBN 9789810237257. Retrieved 10 August 2012.

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Alexandre Kirillov

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Alexandre Kirillov (Q925405). Home page of Alexandre Kirillov O'Connor, John J.; Robertson, Edmund F., "Alexandre Kirillov", MacTutor History of Mathematics Archive...

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Israel Gelfand

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legacy continues through his students, who include Endre Szemerédi, Alexandre Kirillov, Edward Frenkel, Joseph Bernstein, David Kazhdan, as well as his own...

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Alexander Kirillov

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Alexander Kirillov or Alexandre Kirillov may refer to: Alexandre Kirillov (b. 1936), Russian mathematician Alexander Kirillov, Jr., his son, Russian-American...

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Andrei Okounkov

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1993 and received his doctorate, also at Moscow State, in 1995 under Alexandre Kirillov and Grigori Olshanski. He is a professor at Columbia University. He...

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Kirillov character formula

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representations. The method got its name after the Russian mathematician Alexandre Kirillov. At its simplest, it states that a character of a Lie group may be...

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Coadjoint representation

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importance of the coadjoint representation was emphasised by work of Alexandre Kirillov, who showed that for nilpotent Lie groups G {\displaystyle G} a basic...

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Orbit method

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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...

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Victor Ginzburg

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Ph.D. at Moscow State University in 1985, under the direction of Alexandre Kirillov and Israel Gelfand. Ginzburg wrote a textbook Representation theory...

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David Kazhdan

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USSR. His father is Alexander Kazhdan. He earned a doctorate under Alexandre Kirillov in 1969 and was a member of Israel Gelfand's school of mathematics...

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Alexander Molev

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mathematician. He completed his Ph.D. in 1986 under the supervision of Alexandre Kirillov at Moscow State University. He was awarded the Australian Mathematical...

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Andrei Zelevinsky

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obtained his PhD in 1978 under the mentorship of Joseph Bernstein, Alexandre Kirillov and Israel Gelfand. He worked in the mathematical laboratory of Vladimir...

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Adjoint representation

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the contragredient representation of the adjoint representation. Alexandre Kirillov observed that the orbit of any vector in a co-adjoint representation...

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George Mackey

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theory of nilpotent Lie groups using the method of orbits developed by Alexandre Kirillov in the 1960s. His notion of "virtual subgroup", introduced in 1966...

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Alexei Borodin

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California Institute of Technology Thesis Harmonic analysis on the infinite symmetric group  (2001) Doctoral advisor Alexandre Kirillov, Grigori Olshanski...

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Pontryagin duality

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Analysis. Vol. 2. Springer. ISBN 978-3-662-24595-8. MR 0262773. Kirillov, Alexandre A. (1976) [1972]. Elements of the theory of representations. Grundlehren...

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Alexander Kudryavtsev

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Russia Hard Alexandre Krasnoroutskiy Murad Inoyatov Denis Istomin 6–1, 4–6, [10–4] Win 19. 17 August 2007 Bukhara, Uzbekistan Hard Evgeny Kirillov Danila Arsenov...

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