Characteristic cycles of holomorphic discrete series

Chang, Jen-Tseh

doi:10.1090/S0002-9947-1992-1087052-3

Characteristic cycles of holomorphic discrete series
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Trans. Amer. Math. Soc. 334 (1992), 213-227 Request permission

Abstract:

The characteristic cycles of standard modules arising from closed $K$-orbits in a flag variety are studied and those of holomorphic discrete series are determined explicitly. Also the asymptotic expansion of the distribution characters of holomorphic discrete series are computed; the result verifies a conjecture of D. Vogan in this special case.

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Associated varieties and unipotent representations