Constant term in Harish-Chandra’s limit formula
Annales Mathématiques Blaise Pascal, Tome 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 : https://doi.org/10.5802/ambp.245
Classification : 22E46,  22E30
Mots clés : Flag variety, equivariant sheaf, characteristic cycle, coadjoint orbit, Liouville measure
@article{AMBP_2008__15_2_153_0,
title = {Constant term in {Harish-Chandra{\textquoteright}s}  limit formula},
journal = {Annales Math\'ematiques Blaise Pascal},
pages = {153--168},
publisher = {Annales math\'ematiques Blaise Pascal},
volume = {15},
number = {2},
year = {2008},
doi = {10.5802/ambp.245},
mrnumber = {2468041},
zbl = {1162.22013},
language = {en},
url = {https://ambp.centre-mersenne.org/articles/10.5802/ambp.245/}
}
Mladen Božičević. Constant term in Harish-Chandra’s  limit formula. Annales Mathématiques Blaise Pascal, Tome 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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