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On special pieces, the Springer correspondence, and unipotent characters

Pramod N. Achar·Daniel S. Sage
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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.

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BibTeXRIS

Pramod N. Achar, Daniel S. Sage. 2007-06-30. On special pieces, the Springer correspondence, and unipotent characters. https://arxiv.org/abs/math/0606075

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