On Special Pieces, the Springer Correspondence, and Unipotent Characters
نویسنده
چکیده
Let G be a connected reductive algebraic group over the algebraic closure of a finite field Fq 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(Fq). 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.
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تاریخ انتشار 2006