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Jens Carsten Jantzen

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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.

Early life and education

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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

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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

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

Selected publications

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  • 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
  • Jantzen, Jens Carsten (1983), Einhüllende Algebren halbeinfacher Lie-Algebren, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)] (in German), vol. 3, Berlin, New York: Springer-Verlag, ISBN 978-3-540-12178-7, MR 0721170[6]
  • Jantzen, Jens Carsten (1996), Lectures on quantum groups, Graduate Studies in Mathematics, vol. 6, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-0478-0, MR 1359532
  • Jantzen, Jens Carsten (2003) [1987], Representations of algebraic groups, Mathematical Surveys and Monographs, vol. 107 (2nd ed.), Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-3527-2, MR 2015057[7]
  • Jantzen, Jens Carsten; Schwermer, Joachim (2006), Algebra, Springer-Lehrbuch, Springer-Verlag, doi:10.1007/3-540-29287-X, ISBN 978-3-540-21380-2
  • Borho, Walter; Jantzen, Jens Carsten (1977). "Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie-Algebra". Inventiones Mathematicae. 39: 1–53. Bibcode:1977InMat..39....1B. doi:10.1007/bf01695950. S2CID 118474214.

References

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  1. ^ Jantzen, Jens Carsten (in German), German National Library, retrieved 2024-05-17
  2. ^ a b 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. ^ a b 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.
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