Dimensions of Newton strata in the adjoint quotient of reductive groups

2006/01/09 by Robert E. Kottwitz, Kottwitz, Robert E.
Mathematics · #11G18 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:11G18

paper · pdf · doi:10.48550/arxiv.math/0601196

arxiv created 2006/01/09 · arxiv updated 2009/12/01

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.

Related

• A geometric interpretation of Newton strata
• Centralizers of generic elements of Newton strata in the adjoint quotients of reductive groups
• Newton strata in the loop group of a reductive group
• Lower bounds on the essential dimension of reductive groups
• Codimensions of root valuation strata