Codimensions of Newton Strata for SL3 in the Iwahori Case
Abstract
We study the Newton stratification on SL3(F), where F is a Laurent power series field. We provide a formula for the codimensions of the Newton strata inside each component of the affine Bruhat decomposition on SL3(F). These calculations are related to the study of certain affine Deligne-Lusztig varieties. In particular, we describe a method for determining which of these varieties is non-empty in the case of SL3(F).
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