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Atlas of Lie groups and representations

Index 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. [1]

11 relations: Bill Casselman (mathematician), David Vogan, Fokko du Cloux, Gregg Zuckerman, Jeffrey Adams (mathematician), John Stembridge, Lie group, Marc van Leeuwen, Mathematics, Reductive group, Unitary representation.

Bill Casselman (mathematician)

William Allen "Bill" Casselman (born November 27, 1941) is an American Canadian mathematician who works in group theory.

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David Vogan

David Alexander Vogan, Jr. (born September 8, 1954) is a mathematician at the Massachusetts Institute of Technology who works on unitary representations of simple Lie groups.

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Fokko du Cloux

Fokko du Cloux (20 December 1954, Rheden – 10 November 2006) was a Dutch mathematician and computer scientist.

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Gregg Zuckerman

Gregg Jay Zuckerman (born 1949) is a mathematician at Yale University who discovered Zuckerman functors and translation functors, and with Anthony W. Knapp classified the irreducible tempered representations of semisimple Lie groups.

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Jeffrey Adams (mathematician)

Jeffrey David Adams (born 1955) 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.

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John Stembridge

John Stembridge is a Professor of Mathematics at University of Michigan.

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Lie group

In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.

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Marc van Leeuwen

Marc A. A. Van Leeuwen (born May 1, 1960) is a Dutch mathematician at the University of Poitiers.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Reductive group

In mathematics, a reductive group is a type of linear algebraic group over a field.

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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(g) is a unitary operator for every g ∈ G. The general theory is well-developed in case G is a locally compact (Hausdorff) topological group and the representations are strongly continuous.

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Atlas of Lie Groups and Representations, Atlas of lie groups and representations.

References

[1] https://en.wikipedia.org/wiki/Atlas_of_Lie_groups_and_representations

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