Characteristic cycles and wave front cycles of representations of reductive Lie groups
Representation Theory
2016-09-07 v1
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.
Keywords
Cite
@article{arxiv.math/0005305,
title = {Characteristic cycles and wave front cycles of representations of reductive Lie groups},
author = {Wilfried Schmid and Kari Vilonen},
journal= {arXiv preprint arXiv:math/0005305},
year = {2016}
}
Comments
48 pages, published version, abstract added in migration