On special pieces, the Springer correspondence, and unipotent characters
Representation Theory
2017-01-03 v2
Abstract
Let G be a reductive algebraic group over the algebraic closure of a finite field F_q 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(F_q). 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.
Keywords
Cite
@article{arxiv.math/0606075,
title = {On special pieces, the Springer correspondence, and unipotent characters},
author = {Pramod N. Achar and Daniel S. Sage},
journal= {arXiv preprint arXiv:math/0606075},
year = {2017}
}
Comments
23 pages, expanded version with main theorem strengthened, to appear in American Journal of Mathematics