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Functions on the model orbit in E8
(American Mathematical Society, 1988)
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 ...
Strictly small representations and a reduction theorem for the unitary dual
(American Mathematical Society, 2001)
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 ...