Constant term in Harish-Chandra’s limit formula
Annales mathématiques Blaise Pascal, Volume 15 (2008) no. 2, pp. 153-168.

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.

DOI: 10.5802/ambp.245
Classification: 22E46,  22E30
Keywords: Flag variety, equivariant sheaf, characteristic cycle, coadjoint orbit, Liouville measure

1 Department of Geotechnical Engineering University of Zagreb Hallerova aleja 7 42000 Varaždin Croatia
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Božičević, Mladen. Constant term in Harish-Chandra’s  limit formula. Annales mathématiques Blaise Pascal, Volume 15 (2008) no. 2, pp. 153-168. doi : 10.5802/ambp.245. http://www.numdam.org/articles/10.5802/ambp.245/

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