Invariant measures on nilpotent orbits associated with holomorphic discrete series
2021 ◽
Vol 25
(24)
◽
pp. 732-747
Keyword(s):
Let G R G_\mathbb R be a real form of a complex, semisimple Lie group G G . Assume G R G_\mathbb R has holomorphic discrete series. Let W \mathcal W be a nilpotent coadjoint G R G_\mathbb R -orbit contained in the wave front set of a holomorphic discrete series. We prove a limit formula, expressing the canonical measure on W \mathcal W as a limit of canonical measures on semisimple coadjoint orbits, where the parameter of orbits varies over the positive chamber defined by the Borel subalgebra associated with holomorphic discrete series.
Keyword(s):
1973 ◽
Vol 13
(4)
◽
pp. 324-389
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Keyword(s):
1970 ◽
Vol 4
(2)
◽
pp. 117-121
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2012 ◽
Vol 23
(06)
◽
pp. 1250021
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1968 ◽
Vol 2
(1)
◽
pp. 105-128
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2015 ◽
Vol 26
(12)
◽
pp. 1550103
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1970 ◽
Vol 4
(2)
◽
pp. 163-165
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