Anthony W. Knapp

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Anthony William Knapp (born December 2, 1941 in Morristown , New Jersey ) is an American mathematician who deals with the infinite-dimensional representation theory of Lie groups .

Life

Knapp studied at Dartmouth College and Princeton University , where he received his doctorate in 1965 with Salomon Bochner with the dissertation Distal Functions on Abelian Groups . From 1965 to 1967 he was a Moore instructor at MIT . In 1966 the book Denumerable Markov Chains was published by him, John G. Kemeny and J. Laurie Snell (he had attended both of them in Dartmouth). In 1967 he went to Cornell University . Since 1986 he has been a professor at the State University of New York at Stony Brook , where he has now retired.

With Elias Stein (Princeton) he developed the theory of the intertwining operators for the construction of unitary representations. By Gregg Zuckerman he completed the classification of tempered irreducible representations ( tempered representations ) semisimple Lie groups (1975), by Harish-Chandra were used for his Plancherel theorem. He is known in the USA for his textbooks.

In 1974 he was invited speaker at the International Congress of Mathematicians in Vancouver (A Szegö kernel for discrete series). In 1982/83 he was a Guggenheim Fellow. In 1997 he received the Leroy P. Steele Prize for one of his textbooks (Representation Theory of Semisimple Groups). From 1998 to 2001 he was editor of the Notices of the American Mathematical Society. He is a fellow of the American Mathematical Society .

He has been married since 1963 and has two children.

Fonts

  • Representation Theory of Semisimple Groups: An Overview Based on Examples. Princeton Landmarks in Mathematics, Princeton University Press, 2001, ISBN 0-691-09089-0 .
  • Lie Groups Beyond an Introduction. 2nd Edition. Progress in Mathematics, Vol. 140, Birkhäuser, Boston, 2002. ISBN 0-8176-4259-5 .
  • with DA Vogan: Cohomological Induction and Unitary Representations. Princeton Mathematical Series Vol. 45, Princeton University Press, Princeton, New Jersey 1995.
  • Elliptic Curves. Princeton University Press 1992.
  • Introduction to the Langlands Program , in TN Bailey, AW Knapp (Ed.) Representation theory and Automorphic Forms , Edinburgh 1996, Proc. Symp. Pure Math., Vol. 61, AMS 1997, pp. 245-302

Web links

Footnotes

  1. American Men and Women of Science , Thomson Gale