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
Jantzen was born in 1948 in Störtewerkerkoog, Nordfriesland. He received his PhD from the University of Bonn in 1973 under the supervision of Jacques Tits.
Career
In the late 1970s, Jantzen and Gregg Zuckerman independently introduced translation functors. In 1979, he introduced the Jantzen filtration.
His doctoral students include Wolfgang Soergel.
Awards and honors
In 2012 he became a fellow of the American Mathematical Society.
Selected publications
- 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) (in German), vol. 3, Berlin, New York: Springer-Verlag, ISBN 978-3-540-12178-7, MR 0721170
- 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) , 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
- 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
- Jantzen, Jens Carsten (in German), German National Library, retrieved 2024-05-17
- ^ Jens Carsten Jantzen at the Mathematics Genealogy Project
- 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
- ^ 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
- List of Fellows of the American Mathematical Society, retrieved 2013-01-26.
- 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.
- 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.