, Volume 1, Issue 1-2, pp 35-39

Euler characteristic of certain affine flag varieties

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Abstract

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 elementn t istcl wherel is the rank of the associated finite type Lie algebra.

The author's research is supported in part by a National Science Foundation postdoctoral fellowship.