Jens Carsten Jantzen
Encyclopedia
Jens Carsten Jantzen is a mathematician working on representation theory
and algebraic group
s, who introduced the Jantzen filtration
, the Jantzen sum formula, the Jantzen conjecture, and translation functor
s.
Representation theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studiesmodules over these abstract algebraic structures...
and algebraic group
Algebraic group
In algebraic geometry, an algebraic group is a group that is an algebraic variety, such that the multiplication and inverse are given by regular functions on the variety...
s, who introduced the Jantzen filtration
Jantzen filtration
In algebra, a Jantzen filtration is a filtration of a Verma module of a semisimple Lie algebra, or a Weyl module of a reductive algebraic group of positive characteristic...
, the Jantzen sum formula, the Jantzen conjecture, and translation functor
Translation functor
In mathematical representation theory, a translation functor is a functor taking representations of a Lie algebra to representations with a possibly different central character. Translation functors were introduced independently by and...
s.