Publicationshttps://hdl.handle.net/1721.1/181612026-04-10T08:22:47Z2026-04-10T08:22:47ZStrictly small representations and a reduction theorem for the unitary dualSalamanca-Riba, Susana A.Vogan, Davidhttps://hdl.handle.net/1721.1/294682025-02-06T20:22:13Z2001-01-01T00:00:00ZStrictly small representations and a reduction theorem for the unitary dual
Salamanca-Riba, Susana A.; Vogan, David
To any irreducible unitary representation X of a real reductive Lie group we associate in a canonical way, a Levi subgroup Gsu and a representation of this subgroup. Assuming a conjecture of the authors on the
infinitesimal character of X, we show that X is cohomologically induced from
a unitary representation of the subgroup Gsu. This subgroup is in some cases smaller than the subgroup Gu that the authors attached to X in earlier work. In those cases this provides a further reduction to the classification problem.
First published in Representation Theory in Vol 5, 2001. Published by the American Mathematical Society.
2001-01-01T00:00:00ZFunctions on the model orbit in E8Adams, J.Huang, J.Vogan, Davidhttps://hdl.handle.net/1721.1/294672025-02-06T20:22:39Z1988-01-01T00:00:00ZFunctions on the model orbit in E8
Adams, J.; Huang, J.; Vogan, David
We decompose the ring of regular functions on the unique coadjoint orbit for complex E8 of dimension 128, finding that every irreducible
representation appears exactly once. This confirms a conjecture of McGovern. We also study the unique real form of this orbit.
First published in Representation Theory in Vol.2,1998. Published by the American Mathematical Society.
1988-01-01T00:00:00Z