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
Recommended Citation
Achar, P., & Sage, D. (2008). On special pieces, the Springer correspondence, and unipotent characters. American Journal of Mathematics, 130 (5), 1399-1425. https://doi.org/10.1353/ajm.0.0019
