Gregg Zuckerman

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Gregg Jay Zuckerman (* 1949 in Los Angeles ) is an American mathematician. He is a professor at Yale University . He deals with Lie groups and their representations.

Gregg Zuckerman (left) at Yale 1979

Zuckerman received his PhD from Princeton University in 1975 with Elias Stein ( Some character identities for semisimple Lie groups ). In 1974/75 and 1978 he was at the Institute for Advanced Study . 1977/78 he was a Junior Faculty Fellow and later Professor at Yale.

With Anthony W. Knapp he classified the tempered irreducible representations of semi-simple Lie groups in 1976 (they play a special role in the harmonic analysis of Lie groups). He also made contributions to mathematical physics, among others with Howard Garland and Igor Frenkel in 1986 (connection of BRST quantization of strings with cohomology of graded lie data). and was one of the first to treat Chern-Simons field theories (even before Edward Witten ).

He is involved in the Atlas of Lie Groups, a collaboration that pursues the goal of determining the irreducible unitary representations of Lie groups (unitary dual), for which there is in principle a finite algorithm (as emerged from the work of Zuckerman and others).

From 1979 to 1981 he was a Sloan Research Fellow .

Fonts

  • Tensor products of finite and infinite-dimensional representations of semisimple Lie groups , Annals of Mathematics, Volume 106, 1977, pp. 295-308
  • with Knapp Classification of irreducible tempered representations of semisimple Lie groups , Proc. Nat. Acad. Sci., Volume 73, 1976, pp. 2178-2180, PMC 430485 (free full text)
  • with Knapp Classification of Irreducible Tempered Representations of Semisimple Groups , Annals of Mathematics, Volume 116, 1982, pp. 389-455
  • Continuous cohomology and unitary representations of real reductive groups , Annals of Mathematics, Volume 107, 1978, pp. 495-516

Web links

Individual evidence

  1. ↑ Life data according to the membership book of IAS 1980
  2. ^ Mathematics Genealogy Project
  3. ↑ Frenkel, Garland, Zuckerman Semi infinite cohomology and string theory , Proc. Nat. Acad. Sci., Vol. 83, 1986, pp. 8442-8446, online
  4. ↑ Action principles and global geometry , in S.-T. Yau (editor) Mathematical Aspects of String Theory , World Scientific 1987, pp. 259-284
  5. ↑ Chern Simon's theory at n-cat lab
personal data
SURNAME Zuckerman, Gregg
ALTERNATIVE NAMES Zuckerman, Gregg Jay
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH 1949
PLACE OF BIRTH los Angeles