Jens Carsten Jantzen

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Jantzen at Oberwolfach, 2007 Jens Carsten Jantzen.jpg
Jantzen at Oberwolfach, 2007

Jens Carsten Jantzen (born 1948) is a German mathematician and professor emeritus at Aarhus University working on representation theory and algebraic groups. He introduced the Jantzen filtration and translation functors.

Contents

Early life and education

Jantzen was born in 1948 in Störtewerkerkoog, Nordfriesland. [1] He received his PhD from the University of Bonn in 1973 under the supervision of Jacques Tits. [2]

Career

In the late 1970s, Jantzen and Gregg Zuckerman independently introduced translation functors. [3] [4] In 1979, he introduced the Jantzen filtration. [4]

His doctoral students include Wolfgang Soergel. [2]

Awards and honors

In 2012 he became a fellow of the American Mathematical Society. [5]

Selected publications

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References

  1. Jantzen, Jens Carsten (in German), German National Library, retrieved 2024-05-17
  2. 1 2 Jens Carsten Jantzen at the Mathematics Genealogy Project
  3. Knapp, Anthony W.; Vogan, David A. (1995), Cohomological induction and unitary representations, Princeton Mathematical Series, vol. 45, Princeton University Press, doi:10.1515/9781400883936, ISBN   978-0-691-03756-1, MR   1330919
  4. 1 2 Jantzen, Jens Carsten (1979), Moduln mit einem höchsten Gewicht, Lecture Notes in Mathematics, vol. 750, Berlin, New York: Springer-Verlag, doi:10.1007/BFb0069521, ISBN   978-3-540-09558-3, MR   0552943
  5. List of Fellows of the American Mathematical Society, retrieved 2013-01-26.
  6. Vogan jr., David A. (1985). "Review: Einhüllende Algebren halbeinfacher Lie-Algebren, by Jens C. Jantzen" (PDF). Bull. Amer. Math. Soc. (N.S.). 12 (2): 279–283. doi: 10.1090/s0273-0979-1985-15380-7 .
  7. Donkin, Stephen (1989). "Review: Representations of algebraic groups, by Jens Carsten Jantzen (1987)" (PDF). Bull. Amer. Math. Soc. (N.S.). 20 (2): 211–215. doi: 10.1090/s0273-0979-1989-15768-6 .