Limit formulas for groups with one conjugacy class of Cartan subgroups

Mladen Božičević[1]

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

Annales de l’institut Fourier (2008)

  • Volume: 58, Issue: 4, page 1213-1232
  • ISSN: 0373-0956

Abstract

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Limit formulas for the computation of the canonical measure on a nilpotent coadjoint orbit in terms of the canonical measures on regular semisimple coadjoint orbits arise naturally in the study of invariant eigendistributions on a reductive Lie algebra. In the present paper we consider a particular type of the limit formula for canonical measures which was proposed by Rossmann. The main technical tool in our analysis are the results of Schmid and Vilonen on the equivariant sheaves on the flag variety and their characteristic cycles. We combine the theory of Schmid and Vilonen, and the work of Rossmann to compute canonical measures on nilpotent orbits for the real semisimple Lie groups with one conjugacy class of Cartan subgroups.

How to cite

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Božičević, Mladen. "Limit formulas for groups with one conjugacy class of Cartan subgroups." Annales de l’institut Fourier 58.4 (2008): 1213-1232. <http://eudml.org/doc/10347>.

@article{Božičević2008,
abstract = {Limit formulas for the computation of the canonical measure on a nilpotent coadjoint orbit in terms of the canonical measures on regular semisimple coadjoint orbits arise naturally in the study of invariant eigendistributions on a reductive Lie algebra. In the present paper we consider a particular type of the limit formula for canonical measures which was proposed by Rossmann. The main technical tool in our analysis are the results of Schmid and Vilonen on the equivariant sheaves on the flag variety and their characteristic cycles. We combine the theory of Schmid and Vilonen, and the work of Rossmann to compute canonical measures on nilpotent orbits for the real semisimple Lie groups with one conjugacy class of Cartan subgroups.},
affiliation = {University of Zagreb Department of Geotechnical Engineering Hallerova 7 42000 Varaždin (Croatia)},
author = {Božičević, Mladen},
journal = {Annales de l’institut Fourier},
keywords = {nilpotent orbit; Liouville measure; Weyl group; limit formula},
language = {eng},
number = {4},
pages = {1213-1232},
publisher = {Association des Annales de l’institut Fourier},
title = {Limit formulas for groups with one conjugacy class of Cartan subgroups},
url = {http://eudml.org/doc/10347},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Božičević, Mladen
TI - Limit formulas for groups with one conjugacy class of Cartan subgroups
JO - Annales de l’institut Fourier
PY - 2008
PB - Association des Annales de l’institut Fourier
VL - 58
IS - 4
SP - 1213
EP - 1232
AB - Limit formulas for the computation of the canonical measure on a nilpotent coadjoint orbit in terms of the canonical measures on regular semisimple coadjoint orbits arise naturally in the study of invariant eigendistributions on a reductive Lie algebra. In the present paper we consider a particular type of the limit formula for canonical measures which was proposed by Rossmann. The main technical tool in our analysis are the results of Schmid and Vilonen on the equivariant sheaves on the flag variety and their characteristic cycles. We combine the theory of Schmid and Vilonen, and the work of Rossmann to compute canonical measures on nilpotent orbits for the real semisimple Lie groups with one conjugacy class of Cartan subgroups.
LA - eng
KW - nilpotent orbit; Liouville measure; Weyl group; limit formula
UR - http://eudml.org/doc/10347
ER -

References

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