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Jens Carsten Jantzen
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Name
Jens Jantzen
Academic advisor
Jacques Tits
Books
Representations of algebraic groups, Lectures on quantum groups, Algebra
Jens Carsten Jantzen (born 18 October 1948, Störtewerkerkoog, Nordfriesland) is a mathematician working on representation theory and algebraic groups, who introduced the Jantzen filtration, the Jantzen sum formula, and translation functors.
In 2012 he became a fellow of the American Mathematical Society.
Publications
Jantzen, Jens Carsten (1979), Moduln mit einem höchsten Gewicht, Lecture Notes in Mathematics, 750, Berlin, New York: Springer-Verlag, ISBN 978-3-540-09558-3, MR 552943, doi:10.1007/BFb0069521
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), 3, Berlin, New York: Springer-Verlag, ISBN 978-3-540-12178-7, MR 721170
Jantzen, Jens Carsten (1996), Lectures on quantum groups, Graduate Studies in Mathematics, 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, 107 (2nd ed.), Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-3527-2, MR 2015057
with Joachim Schwermer: Algebra, Springer-Verlag, 2006
with Walter Borho: "Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie-Algebra". Inventiones Mathematicae. 39: 1–53. 1977. doi:10.1007/bf01695950.
