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$C^{- \infty}$ -Whittaker vectors for complex semisimple Lie groups, wave front sets, and Goldie rank polynomial representations

Hisayosi Matumoto (1990)

Annales scientifiques de l'École Normale Supérieure

Characteristic varieties of character sheaves.

K. Vilonen, I. Mirkovic (1988)

Inventiones mathematicae

Complex geometry and the asymptotics of Harish-Chandra modules for real reductive Lie groups II.

L.G. Casian, D.H. Collingwood (1986)

Inventiones mathematicae

Constant term in Harish-Chandra’s limit formula

Mladen Božičević (2008)

Annales mathématiques Blaise Pascal

Let $G_{ℝ}$ be a real form of a complex semisimple Lie group $G$ . Recall that Rossmann defined a Weyl group action on Lagrangian cycles supported on the conormal bundle of the flag variety of $G$ . We compute the signed average of the Weyl group action on the characteristic cycle of the standard sheaf associated to an open $G_{ℝ}$ -orbit on the flag variety. This result is applied to find the value of the constant term in Harish-Chandra’s limit formula for the delta function at zero.

Continuation of unitary derived functor modules out of the canonical chamber

Thomas J. Enright, Joseph A. Wolf (1984)

Mémoires de la Société Mathématique de France