Transformation Groups

, Volume 1, Issue 1–2, pp 35–39

Euler characteristic of certain affine flag varieties

  • C. Kenneth Fan


The purpose of this note is to prove, as Lusztig stated, that the Euler characteristic of the variety of Iwahori subalgebras containing a certain nil-elliptic elementnt istcl wherel is the rank of the associated finite type Lie algebra.


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  1. [1]
    D. Kazhdan and G. Lusztig,Fixed point varieties on affine flag manifolds, Israel Journal of Mathematics62 (1988), no. 2, 129–168.MATHMathSciNetGoogle Scholar
  2. [2]
    G. Lusztig and J. M. Smelt,Fixed point varieties on the space of lattices, Bull. London Math. Soc.23 (1991), 213–218.MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Birkhäuser Boston 1996

Authors and Affiliations

  • C. Kenneth Fan
    • 1
  1. 1.Department of MathematicsHarvard UniversityCambridge

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