Jeffrey Adams

Jeffrey David Adams (* 1955 ) is an American mathematician who studies the representation theory of Lie groups .

Adams received his doctorate in 1981 under Gregg Zuckerman at Yale University (Sur les n-extensions des représentations induites des produits semi-directs). He teaches at the University of Maryland (College Park). In 1990 he became a research fellow of the Alfred P. Sloan Foundation ( Sloan Research Fellow ).

Adams heads the project Atlas of Lie Groups and Representations , which aims to determine the irreducible unitary representations of ( reductive ) Lie groups (which in principle can be calculated with the computer). A high point of their efforts was the determination of the characters of the exceptional Lie group E8. Those involved in the project included David Vogan , Marc van Leeuwen and Fokko du Cloux .

With Barbasch and Vogan he published a monograph on the Langlands classification of the irreducible unitary representations of reductive Lie groups (introduced by Robert Langlands 1973).

In 2012 he became a Fellow of the American Mathematical Society .

Fonts

• with Dan Barbasch, David Vogan: The Langlands classification and irreducible characters for real reductive groups, Progress in Mathematics 104, Birkhäuser 1992

Web links

• Homepage

References and comments

1. ↑ Jeffrey Adams in the Mathematics Genealogy Project (English)
2. ^ Atlas of Lie groups and representations