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Dimensions of Newton strata in the adjoint quotient of reductive groups

Robert E. Kottwitz
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Abstract

This paper generalizes the classical theory of Newton polygons from the case of general linear groups to the case of split reductive groups. It also gives a root-theoretic formula for dimensions of Newton strata in the adjoint quotients of reductive groups.

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Robert E. Kottwitz. 2006-01-09. Dimensions of Newton strata in the adjoint quotient of reductive groups. https://arxiv.org/abs/math/0601196

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