Title

On special pieces, the Springer correspondence, and unipotent characters

Document Type

Article

Publication Date

10-1-2008

Abstract

Let G be a connected reductive algebraic group over the algebraic closure of a finite field double-struck F of good characteristic. In this paper, we demonstrate a remarkable compatibility between the Springer correspondence for G and the parametrization of unipotent characters of G(double-struck F ). In particular, we show that in a suitable sense, "large" portions of these two assignments in fact coincide. This extends earlier work of Lusztig on Springer representations within special pieces of the unipotent variety. ©2008 by The Johns Hopkins University Press. q q

Publication Source (Journal or Book title)

American Journal of Mathematics

First Page

1399

Last Page

1425

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