Constant term in Harish-Chandra’s limit formula

Mladen Božičević[1]

  • [1] Department of Geotechnical Engineering University of Zagreb Hallerova aleja 7 42000 Varaždin Croatia

Annales mathématiques Blaise Pascal (2008)

  • Volume: 15, Issue: 2, page 153-168
  • ISSN: 1259-1734

Abstract

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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.

How to cite

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Božičević, Mladen. "Constant term in Harish-Chandra’s limit formula." Annales mathématiques Blaise Pascal 15.2 (2008): 153-168. <http://eudml.org/doc/10558>.

@article{Božičević2008,
abstract = {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.},
affiliation = {Department of Geotechnical Engineering University of Zagreb Hallerova aleja 7 42000 Varaždin Croatia},
author = {Božičević, Mladen},
journal = {Annales mathématiques Blaise Pascal},
keywords = {Flag variety; equivariant sheaf; characteristic cycle; coadjoint orbit; Liouville measure; flag variety},
language = {eng},
month = {7},
number = {2},
pages = {153-168},
publisher = {Annales mathématiques Blaise Pascal},
title = {Constant term in Harish-Chandra’s limit formula},
url = {http://eudml.org/doc/10558},
volume = {15},
year = {2008},
}

TY - JOUR
AU - Božičević, Mladen
TI - Constant term in Harish-Chandra’s limit formula
JO - Annales mathématiques Blaise Pascal
DA - 2008/7//
PB - Annales mathématiques Blaise Pascal
VL - 15
IS - 2
SP - 153
EP - 168
AB - 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.
LA - eng
KW - Flag variety; equivariant sheaf; characteristic cycle; coadjoint orbit; Liouville measure; flag variety
UR - http://eudml.org/doc/10558
ER -

References

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