Annales Mathématiques
Blaise Pascal
no. 2
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 
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     title = {Constant term in {Harish-Chandra{\textquoteright}s}  limit formula},
     journal = {Annales Math\'ematiques Blaise Pascal},
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Mladen Božičević. 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. https://ambp.centre-mersenne.org/articles/10.5802/ambp.245/

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