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Božičević, Mladen
Constant term in Harish-Chandra’s limit formula. Annales mathématiques Blaise Pascal, 15 no. 2 (2008), p. 153-168
Texte intégral djvu | pdf | Analyses MR 2468041 | Zbl 1162.22013
Class. Math.: 22E46, 22E30

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Résumé

Let $G_\mathbb{R}$ 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 $G_\mathbb{R}$-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.

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