Abstract

A coadjoint nilpotent orbit [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /] of a complex semisimple Lie group G is said to be spherical if it contains an open orbit of a Borel subgroup. We determine when and how to attach unitary representations to such an orbit for the real orthogonal and symplectic groups. Our results actually extend to a larger class of nilpotent coadjoint orbits.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 497-517
Launched on MUSE
1999-06-01
Open Access
No
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