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词条 Alexandre Kirillov
释义

  1. Publications

  2. References

  3. External links

{{distinguish|Alexander Kirillov, Jr.}}{{BLP sources|date=April 2012}}{{ Infobox scientist
| name = Alexandre Kirillov
| image = Alexandre Kirillov.jpg
| image_size =
| caption =
| birth_date = {{birth date and age|1936|5|9}}
| birth_place = Moscow, Soviet Union
| death_date =
| death_place =
| nationality = Russian
| fields = Mathematics
| workplaces =
| alma_mater = Moscow State University
| doctoral_advisor = Israel Gelfand
| doctoral_students = Alexei Borodin
Victor Ginzburg
David Kazhdan
Alexander Molev
Andrei Okounkov
Andrei Zelevinsky
| known_for = Kirillov character formula
Kirillov orbit theory
Kirillov model
| awards =
}}

Alexandre Aleksandrovich Kirillov ({{lang-ru|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.

Kirillov studied at Moscow State University where he was a student of Israel Gelfand. His Ph.D. (kandidat) dissertation Unitary representations of nilpotent Lie groups was published in 1962. He was awarded the degree of Doctor of Science. At the time he was the youngest Doctor of Science in the Soviet Union. He worked at the Moscow State University until 1994 when he became the Francis J. Carey Professor of Mathematics at the University of Pennsylvania.

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.

In 2012 he became a fellow of the American Mathematical Society.[3]

Kirillov's son, Alexander Kirillov, Jr., is also a mathematician, working on the representation theory of Lie groups at the State University of New York at Stony Brook.

Publications

  • {{Citation | last1=Kirillov | first1=A. A. | title=Elements of the theory of representations | origyear=1972 | publisher=Springer-Verlag | location=Berlin, New York | series= Grundlehren der Mathematischen Wissenschaften | isbn=978-0-387-07476-4 | mr=0412321 | year=1976 | volume=220}}
  • {{cite journal|last=Kirillov|first=A. A.|author-mask=3|title=Merits and demerits of the orbit method|journal=Bull. Amer. Math. Soc. (N.S.)|year=1999|volume=36|issue=4|pages=433–483|mr=1701415|doi=10.1090/s0273-0979-99-00849-6}}
  • {{citation|last=Kirillov|first=A. A.|author-mask=3|title=Lectures on the orbit method|series=Graduate Studies in Mathematics|volume=64|publisher=American Mathematical Society|publication-place=Providence, RI|year=2004|isbn=0-8218-3530-0}}.[4]

References

1. ^{{cite book|last=Marathe|first=Kishore|title=Topics in Physical Mathematics|url=https://books.google.com/books?id=Rf7pqYEb4PQC&pg=PA420|accessdate=10 August 2012|date=2010-08-18|publisher=Springer|isbn=9781848829381|pages=420–}}
2. ^{{cite book|last=Huang|first=Jing-Song|title=Lectures on Representation Theory|url=https://books.google.com/books?id=6V02ivlwC3AC&pg=PA163|accessdate=10 August 2012|year=1999|publisher=World Scientific|isbn=9789810237257|pages=163–}}
3. ^List of Fellows of the American Mathematical Society, retrieved 2013-01-27.
4. ^{{cite journal|author=Vogan Jr, David A.|authorlink=David Vogan|title=Review: Lectures on the orbit method, by A. A. Kirillov|journal=Bull. Amer. Math. Soc. (N.S.)|year=2005|volume=42|pages=535–544|issue=4|url=http://www.ams.org/journals/bull/2005-42-04/S0273-0979-05-01065-7/|doi=10.1090/s0273-0979-05-01065-7}}

External links

  • Home page of Alexandre Kirillov
  • {{MacTutor Biography|id=Kirillov}}
  • {{MathGenealogy|id=25063}}
{{Authority control}}{{DEFAULTSORT:Kirillov, Alexandre}}{{Russia-mathematician-stub}}

10 : Russian mathematicians|Soviet mathematicians|20th-century mathematicians|21st-century mathematicians|Russian emigrants to the United States|1936 births|Living people|Moscow State University alumni|University of Pennsylvania faculty|Fellows of the American Mathematical Society

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