Atlas of Lie groups and representations
Encyclopedia
The Atlas of Lie Groups and Representations is a mathematical
project to solve the problem of the unitary dual
for real reductive
Lie group
s.
, the following mathematicians are listed as members:
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
project to solve the problem of the unitary dual
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...
for real reductive
Reductive group
In mathematics, a reductive group is an algebraic group G over an algebraically closed field such that the unipotent radical of G is trivial . Any semisimple algebraic group is reductive, as is any algebraic torus and any general linear group...
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.
, the following mathematicians are listed as members:
- Jeffrey AdamsJeffrey Adams (mathematician)Jeffrey Adams is a mathematician at the University of Maryland who works on unitary representations of reductive Lie groups, 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...
- Dan Barbasch
- Birne Binegar
- Bill Casselman
- Dan Ciubotaru
- Fokko du ClouxFokko du ClouxFokko du Cloux was a Dutch mathematician and computer scientist. He worked on the Atlas of Lie groups and representations until his death.-Career in mathematics:...
- Scott Crofts
- Steven Jackson
- Alfred Noël
- Tatiana Howard
- Alessandra Pantano
- Annegret Paul
- Patrick Polo
- Siddhartha Sahi
- Susana Salamanca
- John StembridgeJohn StembridgeJohn Stembridge is a Professor of Mathematics at University of Michigan. He received his Ph.D. from Massachusetts Institute of Technology in 1985 with his Dissertation called Combinatorial Decompositions of Characters of SL....
- Peter Trapa
- Marc van LeeuwenMarc van LeeuwenMarc A. A. van Leeuwen is a Dutch mathematician at the University of Poitiers. He is a project member of the atlas of Lie groups and representations....
- David VoganDavid VoganDavid 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...
- Wai-Ling Yee
- Jiu-Kang Yu
- Gregg ZuckermanGregg ZuckermanGregg Jay Zuckerman is a mathematician at Yale University who discovered Zuckerman functors and translation functors, and with Anthony Knapp classified the irreducible tempered representations ofsemisimple Lie groups.-Publications:...