For generic discrete series of real reductive groups, the associated variety, wave-front set, and set of Whittaker data are in natural bijection, with elementary proofs of known relations including the Kostant-Sekiguchi correspondence.
Characteristic cycles of constr uctible sheaves
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Nilpotent Invariants for Generic Discrete Series of Real Groups
For generic discrete series of real reductive groups, the associated variety, wave-front set, and set of Whittaker data are in natural bijection, with elementary proofs of known relations including the Kostant-Sekiguchi correspondence.