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Regular points in affine Springer fibers

2003/09/07 by Mark Goresky, Goresky, Mark, Robert Kottwitz +3
Mathematics · #20G25 #22E50 (primary) #22E67 (secondary) #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:20G25 #msc:22E50 #msc:22E67

paper · pdf · doi:10.48550/arxiv.math/0309136

11 pages

arxiv created 2003/09/07 · arxiv updated 2009/12/01

Abstract

Work of Kazhdan-Lusztig and Bezrukavnikov suggests the importance of points in affine Springer fibers for which the associated conjugacy class in the finite dimensional Lie algebra is regular. Such points are characterized in a different way in this paper, using the same kind of information as goes into the weight factors used to form weighted orbital integrals.

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