Victor Kac: Difference between revisions
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'''Victor G. Kac''' (born 19 December 1943 in [[Buguruslan]], [[Russian SFSR|Russia]], [[USSR]]) is a [[USSR|Soviet]] and [[United States|American]] [[mathematician]] at [[MIT]], known for his work in [[representation theory]]. He discovered [[Kac–Moody algebra]]s, and used the [[Weyl_character_formula#Weyl.E2.80.93Kac_character_formula|Weyl–Kac character formula]] for them to reprove the [[Macdonald identity|Macdonald identities]]. He classified the finite dimensional simple [[Lie superalgebra]]s, and found the [[Kac determinant formula]] for the [[Virasoro algebra]]. |
'''Victor G. Kac''' (born 19 December 1943 in [[Buguruslan]], [[Russian SFSR|Russia]], [[USSR]]) is a [[USSR|Soviet]] and [[United States|American]] [[mathematician]] at [[MIT]], known for his work in [[representation theory]]. He discovered [[Kac–Moody algebra]]s, and used the [[Weyl_character_formula#Weyl.E2.80.93Kac_character_formula|Weyl–Kac character formula]] for them to reprove the [[Macdonald identity|Macdonald identities]]. He classified the finite dimensional simple [[Lie superalgebra]]s, and found the [[Kac determinant formula]] for the [[Virasoro algebra]]. |
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Kac studied mathematics at [[Moscow State University]], receiving his M.S. in 1965 and his Ph.D. in 1968. From 1968 to 1976, he held a teaching position at the [[Moscow Institute of Electronic Engineering]].<ref>[http://www-math.mit.edu/~kac/index.html Curriculum Vitae]. Notice: the accurate institute name [[Moscow Institute of Electronic Technology|MIET]] or [[Moscow Institute of Electronic Machine Building|MIEM]] is unknown</ref> He left the [[Soviet Union]] in 1977, becoming an associate professor of mathematics at MIT. In 1981, he was promoted to full professor. Kac received a [[Sloan Fellowship]] in 1981 and a [[Guggenheim Fellowship]] in 1986. In 2012 he became a fellow of the [[American Mathematical Society]].<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-01-27.</ref> |
Kac studied mathematics at [[Moscow State University]], receiving his M.S. in 1965 and his Ph.D. in 1968. From 1968 to 1976, he held a teaching position at the [[Moscow Institute of Electronic Engineering]].<ref>[http://www-math.mit.edu/~kac/index.html Curriculum Vitae]. Notice: the accurate institute name [[Moscow Institute of Electronic Technology|MIET]] or [[Moscow Institute of Electronic Machine Building|MIEM]] is unknown</ref> He left the [[Soviet Union]] in 1977, becoming an associate professor of mathematics at MIT. In 1981, he was promoted to full professor. Kac received a [[Sloan Fellowship]] in 1981 and a [[Guggenheim Fellowship]] in 1986. In 1996 he was the co-winner of the [[Wigner Medal]]. In 2002 he gave a plenary lecture (''Classification of Supersymmetries'') at the [[International Congress of Mathematicians|ICM]] in [[Beijing]] and in 1978 he was an Invited Speaker (''Highest weight representations of infinite dimensional Lie algebras'') at the ICM in [[Helsinki]]. In 2012 he became a fellow of the [[American Mathematical Society]].<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-01-27.</ref> |
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His brother [[Boris Katz]] is a principal research scientist at MIT.<ref>{{cite news| url=http://www.boston.com/news/globe/obituaries/articles/2006/10/04/clara_katz_soviet_migr_saved_ailing_granddaughter/ | work=The Boston Globe | first=Gloria | last=Negri | title=Clara Katz; Soviet émigré saved ailing granddaughter | date=4 October 2006}}</ref> |
His brother [[Boris Katz]] is a principal research scientist at MIT.<ref>{{cite news| url=http://www.boston.com/news/globe/obituaries/articles/2006/10/04/clara_katz_soviet_migr_saved_ailing_granddaughter/ | work=The Boston Globe | first=Gloria | last=Negri | title=Clara Katz; Soviet émigré saved ailing granddaughter | date=4 October 2006}}</ref> |
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|year=2013 |
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|isbn=978-981-4522-18-2 |
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|url=http://www.worldscientific.com/worldscibooks/10.1142/8882 |
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|publisher=Cambridge University Press |
|publisher=Cambridge University Press |
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|edition=3rd edition |
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|origyear=1985 |
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|year=1994 |
|year=1994 |
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|isbn=0-521-46693-8 |
|isbn=0-521-46693-8 |
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|url=http://books.google.com/books?id=kuEjSb9teJwC&lpg=PP1&ots=wzuwH7Nn98&dq=Infinite-Dimensional%20Lie%20Algebras&pg=PP1#v=onepage&q&f=false |
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}}<ref>{{cite journal|author=Seligman, George B.|title=Review: ''Infinite-dimensional Lie algebras'', by Victor G. Kac, 2nd edition|journal=Bull. Amer. Math. Soc. (N.S.)|year=1987|pages=144–149|url=http://www.ams.org/journals/bull/1987-16-01/S0273-0979-1987-15492-9/S0273-0979-1987-15492-9.pdf}}</ref> |
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Revision as of 13:58, 28 February 2014
Victor G. Kac (born 19 December 1943 in Buguruslan, Russia, USSR) is a Soviet and American mathematician at MIT, known for his work in representation theory. He discovered Kac–Moody algebras, and used the Weyl–Kac character formula for them to reprove the Macdonald identities. He classified the finite dimensional simple Lie superalgebras, and found the Kac determinant formula for the Virasoro algebra.
Kac studied mathematics at Moscow State University, receiving his M.S. in 1965 and his Ph.D. in 1968. From 1968 to 1976, he held a teaching position at the Moscow Institute of Electronic Engineering.[1] He left the Soviet Union in 1977, becoming an associate professor of mathematics at MIT. In 1981, he was promoted to full professor. Kac received a Sloan Fellowship in 1981 and a Guggenheim Fellowship in 1986. In 1996 he was the co-winner of the Wigner Medal. In 2002 he gave a plenary lecture (Classification of Supersymmetries) at the ICM in Beijing and in 1978 he was an Invited Speaker (Highest weight representations of infinite dimensional Lie algebras) at the ICM in Helsinki. In 2012 he became a fellow of the American Mathematical Society.[2]
His brother Boris Katz is a principal research scientist at MIT.[3]
Books
- Kac, Victor G. (2013). Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras (2nd ed.). World Scientific Publishing. ISBN 978-981-4522-18-2.
- Kac, Victor G. (1994) [1985]. Infinite-Dimensional Lie Algebras (3rd edition ed.). Cambridge University Press. ISBN 0-521-46693-8.
{{cite book}}:|edition=has extra text (help)[4]
- Kac, Victor (1997). Vertex Algebras for Beginners (University Lecture Series, No 10). American Mathematical Society. ISBN 0-8218-0643-2.
References
- ^ Curriculum Vitae. Notice: the accurate institute name MIET or MIEM is unknown
- ^ List of Fellows of the American Mathematical Society, retrieved 2013-01-27.
- ^ Negri, Gloria (4 October 2006). "Clara Katz; Soviet émigré saved ailing granddaughter". The Boston Globe.
- ^ Seligman, George B. (1987). "Review: Infinite-dimensional Lie algebras, by Victor G. Kac, 2nd edition" (PDF). Bull. Amer. Math. Soc. (N.S.): 144–149.
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| Warning | Local parameters are deprecated. |
