• Source: Jens Carsten Jantzen

    • 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) [Results in Mathematics and Related Areas (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) [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
    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




    External links


    Home page of Jens Carsten Jantzen
    Pictures from Oberwolfach

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