Jeffrey Adams (mathematician)
Encyclopedia
Jeffrey Adams is a mathematician at the University of Maryland
who works on unitary representation
s of reductive Lie group
s, and who led the project Atlas of Lie groups and representations
that calculated the characters of the representations of E8
. The project to calculate the representations of E8 has been compared to the Human Genome Project
in scope. Together with Dan Barbasch and David Vogan
, he co-authored a monograph on a geometric approach to the Langlands classification
and Arthur's conjectures in the real case.
University of Maryland, College Park
The University of Maryland, College Park is a top-ranked public research university located in the city of College Park in Prince George's County, Maryland, just outside Washington, D.C...
who works on unitary representation
Unitary representation
In mathematics, a unitary representation of a group G is a linear representation π of G on a complex Hilbert space V such that π is a unitary operator for every g ∈ G...
s of reductive Lie group
Lie group
In mathematics, a Lie group is a group which is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure...
s, and who led the project Atlas of Lie groups and representations
Atlas of Lie groups and representations
The Atlas of Lie Groups and Representations is a mathematical project to solve the problem of the unitary dual for real reductive Lie groups., the following mathematicians are listed as members:*Jeffrey Adams*Dan Barbasch*Birne Binegar*Bill Casselman...
that calculated the characters of the representations of E8
E8 (mathematics)
In mathematics, E8 is any of several closely related exceptional simple Lie groups, linear algebraic groups or Lie algebras of dimension 248; the same notation is used for the corresponding root lattice, which has rank 8...
. The project to calculate the representations of E8 has been compared to the Human Genome Project
Human Genome Project
The Human Genome Project is an international scientific research project with a primary goal of determining the sequence of chemical base pairs which make up DNA, and of identifying and mapping the approximately 20,000–25,000 genes of the human genome from both a physical and functional...
in scope. Together with Dan Barbasch and David Vogan
David Vogan
David Alexander Vogan is a mathematician at M.I.T. who works on unitary representations of simple Lie groups. He is one of the participants in the Atlas of Lie Groups and Representations.-Publications:*Some online by Vogan...
, he co-authored a monograph on a geometric approach to the Langlands classification
Langlands classification
In mathematics, the Langlands classification is a classification of irreducible representations of a reductive Lie group G, suggested by Robert Langlands...
and Arthur's conjectures in the real case.
External links
- Home page of Jeffrey Adams
- Adams, Jeffrey; Barbasch, Dan; Vogan, David A., Jr. The Langlands classification and irreducible characters for real reductive groups. Progress in Mathematics, 104. Birkhäuser Boston, Inc., Boston, MA, 1992. xii+318 pp. ISBN 0-8176-3634-X