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Alexandre Kirillov

 
Alexandre Kirillov

 
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Alexandre Kirillov
 
 
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Alexandre Aleksandrovich Kirillov (born 1936) is a Russia
Russia

Russia , or the Russian Federation , is a list of countries spanning more than one continent country extending over much of northern Eurasia....
n mathematician, renowned for his works in the fields of representation theory
Representation theory

Representation theory is a branch of mathematics that studies abstract algebra algebraic structures by representing their element as linear transformations of vector spaces....
, topological group
Topological group

In mathematics, a topological group is a group G together with a topological space on G such that the group's binary operation and the group's inverse function are continuous function ....
s and Lie group
Lie group

In mathematics, a Lie group is a group which is also a differentiable manifold, with the property that the group operations are compatible with the Differential structure....
s.

Kirillov studied at Moscow State University
Moscow State University

M. V. Lomonosov Moscow State University , for a time the Lomonosov University , is the largest university in Russia. Founded in 1755, it also claims to be the oldest university in Russia....
 where he was a student of Israel Gelfand
Israel Gelfand

Isra?l Moiseevich Gelfand is a mathematician who has contributed substantially in different branches including Group Theory, Representation Theory, Linear Algebra etc....
. His PhD
Doctor of Philosophy

Doctor of Philosophy, abbreviated Ph.D. or PhD for the Latin , meaning "teacher of philosophy", is an postgraduate academic degree awarded by University....
 (kandidat
Kandidat

Kandidat nauk or Candidate of Sciences is a first post-graduate academic degree in the former Soviet Union and in some Post-Soviet states and East European countries, awarded for a dissertation....
) dissertation Unitary representations of nilpotent Lie groups 1962 was so successful that he was awarded the much higher degree of Doctor of Science
Doctor of Science

Doctor of Science , usually abbreviated D.Sc., Sc.D., S.D. or Dr.Sc., is an academic research degree awarded in a number of countries throughout the world....
 instead. At the time he was the youngest Doctor of Science in the Soviet Union
Soviet Union

The Union of Soviet Socialist Republics was a Constitution of the Soviet Union socialist state that existed in Eurasia from 1922 to 1991.The name is a translation of the , romanization of Russian Soyuz Sovetskikh Sotsialisticheskikh Respublik, abbreviated ????, SSSR....
.






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Alexandre Aleksandrovich Kirillov (born 1936) is a Russia
Russia

Russia , or the Russian Federation , is a list of countries spanning more than one continent country extending over much of northern Eurasia....
n mathematician, renowned for his works in the fields of representation theory
Representation theory

Representation theory is a branch of mathematics that studies abstract algebra algebraic structures by representing their element as linear transformations of vector spaces....
, topological group
Topological group

In mathematics, a topological group is a group G together with a topological space on G such that the group's binary operation and the group's inverse function are continuous function ....
s and Lie group
Lie group

In mathematics, a Lie group is a group which is also a differentiable manifold, with the property that the group operations are compatible with the Differential structure....
s.

Kirillov studied at Moscow State University
Moscow State University

M. V. Lomonosov Moscow State University , for a time the Lomonosov University , is the largest university in Russia. Founded in 1755, it also claims to be the oldest university in Russia....
 where he was a student of Israel Gelfand
Israel Gelfand

Isra?l Moiseevich Gelfand is a mathematician who has contributed substantially in different branches including Group Theory, Representation Theory, Linear Algebra etc....
. His PhD
Doctor of Philosophy

Doctor of Philosophy, abbreviated Ph.D. or PhD for the Latin , meaning "teacher of philosophy", is an postgraduate academic degree awarded by University....
 (kandidat
Kandidat

Kandidat nauk or Candidate of Sciences is a first post-graduate academic degree in the former Soviet Union and in some Post-Soviet states and East European countries, awarded for a dissertation....
) dissertation Unitary representations of nilpotent Lie groups 1962 was so successful that he was awarded the much higher degree of Doctor of Science
Doctor of Science

Doctor of Science , usually abbreviated D.Sc., Sc.D., S.D. or Dr.Sc., is an academic research degree awarded in a number of countries throughout the world....
 instead. At the time he was the youngest Doctor of Science in the Soviet Union
Soviet Union

The Union of Soviet Socialist Republics was a Constitution of the Soviet Union socialist state that existed in Eurasia from 1922 to 1991.The name is a translation of the , romanization of Russian Soyuz Sovetskikh Sotsialisticheskikh Respublik, abbreviated ????, SSSR....
. He worked at the Moscow State University until 1994 when he became the Francis J. Carey Professor of Mathematics at the University of Pennsylvania
University of Pennsylvania

The University of Pennsylvania is a private research university located in Philadelphia, Pennsylvania, United States. Penn is America's first university and is the fourth-oldest institution of higher education in the United States....
.

According to the Mathematics Genealogy Project
Mathematics Genealogy Project

The Mathematics Genealogy Project is a web-based database that gives an academic genealogy based on dissertation supervisor. A Ph.D. mathematician's "parent" is her/his doctoral advisor....
 sixty-three mathematicians were his students and 123 are his "descendants" (either his students or students of his students). According to the researchers from the Northern Illinois University
Northern Illinois University

Northern Illinois University is a public university located in DeKalb, Illinois, Illinois, United States. It was founded on May 22, 1895 by Illinois Governor John P....
, he is one of the three hundred fifty seven people whose names are embedded in the Mathematics Subject Classification
Mathematics Subject Classification

The Mathematics Subject Classification is an alphanumerical classification scheme formulated by the American Mathematical Society based on the coverage of two major reviewing databases Mathematical Reviews and Zentralblatt MATH....
: class 16P90 is "Growth rate, Gelfand-Kirillov dimension".

During his school years, Kirillov was a winner of many mathematics competitions, and he is still an active organizer of Russian mathematical contests. Kirillov is an author of many popular school-oriented books and articles.

Kirillov's son, Alexander Kirillov, Jr., is also a professional mathematician, working on the representation theory of Lie groups
Representation of a Lie group

In mathematics and theoretical physics, the idea of a representation of a Lie group plays an important role in the study of continuous symmetry....
 at the State University of New York at Stony Brook
State University of New York at Stony Brook

State University of New York at Stony Brook, commonly known as Stony Brook University, is a public research university located in Stony Brook, New York, New York, United States ....
.

See also

  • Kirillov character formula
    Kirillov character formula

    In mathematics, for a Lie group , the Kirillov orbit method gives a heuristic method in representation theory. It connects the Fourier transforms of coadjoint orbits, which lie in the dual space of the Lie algebra of G, to the infinitesimal characters of the irreducible representations....
  • Kirillov orbit theory
    Kirillov orbit theory

    The Kirillov orbit theory or the method of orbits establishes a correspondence between the set of unitary equivalence classes of irreducible representations of a Lie group and the orbits of the action of G on the dual of its Lie algebra ....
  • Kirillov model
    Kirillov model

    In mathematics, the Kirillov model, studied by , is a realization of a representation of GL2 over a local field on a space of functions on the local field....


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