Transformation Groups

, Volume 6, Issue 4, pp 353–370 | Cite as

Fourier transform, parabolic induction, and nilpotent orbits

  • Anthony Henderson
Article

Abstract

We prove that in the symmetric space setting the functors of Fourier transform (in the sense of Deligne) and parabolic induction (in the sense of Lusztig) commute. We derive two consequences: the first is a new proof of Lusztig's description of the intersection cohomology of nilpotent orbit closures for GL n , and the second is an analogous description for GL2n/Sp2n.

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Copyright information

© Birkhäuser Boston 2001

Authors and Affiliations

  • Anthony Henderson
    • 1
  1. 1.School of Mathematics and StatisticsUniversity of SydneyAustralia

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