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Characteristic cycles and wave front cycles of representations of reductive Lie groups

Wilfried Schmid·Kari Vilonen
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Abstract

Vogan and Barbasch-Vogan attach two similar invariants to representations of a reductive Lie group, one by an algebraic process, the other analytic. They conjectured that the two invariants determine each other in a definite manner. Here we prove the conjecture. Our arguments involve two finer invariants -- the characteristic cycles of representations -- which are interesting in their own right.

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Wilfried Schmid, Kari Vilonen. 2000-05-01. Characteristic cycles and wave front cycles of representations of reductive Lie groups. https://arxiv.org/abs/math/0005305

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