Jens Carsten Jantzen

Jens Carsten Jantzen ( born October 18, 1948 in Störtewerkerkoog ) is a German mathematician who deals with algebra.

Jantzen was at the University of Bonn PhD in 1973 with Jacques Tits ( representations of semisimple algebraic groups and associated contravariant forms). In 1977 he completed his habilitation at the University of Bonn ( modules with a highest weight) and was there 1978 to 1985 assistant professor and professor. He was from 1985 to 1988 professor at the University of Hamburg, from 1988 professor at the University of Oregon and from 1995 he is professor at the University of Aarhus.

It deals with representation theory of algebraic groups and Lie algebras. Various mathematical concepts are named after him here and were introduced by him as the Jantzen filtration, the Jantzen sum formula, translation functors ( independently by Gregg Zuckerman ) of Lie algebras.

He is a Fellow of the American Mathematical Society. 2008 to 2011 he was editor of Mathematica Scandinavica, 1985-1988 of the treatises of the Mathematical Department of the University of Hamburg and 1996 to 2007, the Mathematische Zeitschrift. He was invited speaker at the International Congress of Mathematicians in 1994 in Warsaw ( semisimple algebras envelope of Lie algebras ).

His doctoral Wolfgang Soergel heard.

Writings

• Modules with a highest weight, Lecture Notes in Mathematics 750, Springer Verlag 1979
• Envelope algebras of simple Lie algebras, results of mathematics and its applications, Springer Verlag 1983
• Lectures on Quantum Groups, Graduate Studies in Mathematics, AMS 1996
• Representations of algebraic groups, Mathematical Surveys and Monographs, AMS 1987, 2nd edition 2003
• Joachim Schwermer: Algebra, Springer- Verlag 2006
• With Walter Borho: About primitive ideals in the envelope of a semisimple Lie algebra, Inventiones Mathematicae, 39, 1977, 1-53