Gregg Zuckerman
Encyclopedia
Gregg Jay Zuckerman is a mathematician
at Yale University
who discovered Zuckerman functor
s and translation functor
s, and with Anthony Knapp
classified the irreducible tempered representation
s of
semisimple Lie groups.
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
at Yale University
Yale University
Yale University is a private, Ivy League university located in New Haven, Connecticut, United States. Founded in 1701 in the Colony of Connecticut, the university is the third-oldest institution of higher education in the United States...
who discovered Zuckerman functor
Zuckerman functor
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...
s 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, and with Anthony Knapp
Anthony Knapp
Anthony W. Knapp is a mathematician at the US State University of New York, Stony Brook working on representation theory who classified the tempered representations of a semisimple Lie group.He won the Leroy P...
classified the irreducible tempered representation
Tempered representation
In mathematics, a tempered representation of a linear semisimple Lie group is a representation that has a basis whose matrix coefficients lie in the Lp spacefor any ε > 0.-Formulation:...
s of
semisimple Lie groups.
Publications
- A. W. Knapp; Gregg Zuckerman Classification of Irreducible Tempered Representations of Semisimple Lie Groups Proceedings of the National Academy of SciencesProceedings of the National Academy of SciencesThe Proceedings of the National Academy of Sciences of the United States of America, usually referred to as PNAS, is the official journal of the United States National Academy of Sciences...
of the United States of America Vol. 73, No. 7 (Jul., 1976), pp. 2178–2180 - A. W. Knapp, G. Zuckerman, Classification of irreducible tempered representations of semisimple groups, Annals of math 116 (1982) 389-501, correction 119 (1984) 639.