In mathematics, a Zuckerman functor is used to construct representations of real reductive Lie groups from representations of Levi subgroups. They were introduced by Gregg Zuckerman (1978). The Bernstein functor is closely related.
Contents
Notation and terminology
Definition
The Zuckerman functor Γ is defined by
and the Bernstein functor Π is defined by
References
Zuckerman functor Wikipedia(Text) CC BY-SA