Jens Carsten Jantzen
Jens Carsten Jantzen (born October 18, 1948 in Störtewerkerkoog ) is a German mathematician who deals with algebra .
Jantzen received his doctorate in 1973 at the University of Bonn under Jacques Tits ( representations of semi-simple algebraic groups and associated contravariant forms ). In 1977 he completed his habilitation at the University of Bonn ( modules with the highest weight ) and was scientific advisor and professor there from 1978 to 1985. From 1985 to 1988 he was professor at the University of Hamburg , from 1988 professor at the University of Oregon and he has been professor at the University of Aarhus since 1995 .
He deals with representation theory of algebraic groups and Lie algebras . Various mathematical concepts are named after him and were introduced by him, such as Jantzen filtration, Jantzen sum formula, translation functors of Lie algebras (independently by Gregg Zuckerman ).
He is a fellow of the American Mathematical Society . In 2012 he was elected a member of the Academia Europaea . From 2008 to 2011 he was editor of Mathematica Scandinavica, 1985 to 1988 of the essays from the Mathematical Seminar of the University of Hamburg and 1996 to 2007 of the Mathematical Journal. He was invited speaker at the 1994 International Congress of Mathematicians in Warsaw ( Enveloping algebras of semi-simple Lie algebras ).
Wolfgang Soergel is one of his doctoral students .
Fonts
- Modules with the highest weight , Lecture Notes in Mathematics 750, Springer Verlag 1979, ISBN 978-3-540-09558-3 , doi : 10.1007 / BFb0069521
- Enveloping algebras of simple Lie algebras , results of mathematics and their border areas, Springer Verlag 1983, ISBN 3-540-12178-1 , doi : 10.1007 / 978-3-642-68955-0
- Lectures on Quantum Groups , Graduate Studies in Mathematics, AMS 1996
- Representations of Algebraic Groups , Mathematical Surveys and Monographs, AMS 1987, 2nd edition 2003
- with Joachim Schwermer : Algebra , Springer, 2006, ISBN 3540213805 , doi : 10.1007 / 3-540-29287-X
- with Walter Borho : About primitive ideals in the envelope of a semi-simple Lie algebra , Inventiones Mathematicae, 39, 1977, 1-53, doi : 10.1007 / BF01695950 , online at DigiZeitschriften
Web links
Individual evidence
- ↑ Jens Carsten Jantzen in the Mathematics Genealogy Project (English)
- ^ Membership directory: Jens Carsten Jantzen. Academia Europaea, accessed on August 23, 2017 .
| personal data | |
|---|---|
| SURNAME | Jantzen, Jens Carsten |
| BRIEF DESCRIPTION | German mathematician |
| DATE OF BIRTH | October 18, 1948 |
| PLACE OF BIRTH | Störtewerkerkoog |