On the Hodge-Newton decomposition for split groups

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dc.creatorKottwitz, Robert E.
dc.date2003-07-03
dc.date.accessioned2026-07-07T04:59:24Z
dc.date.available2026-07-07T04:59:24Z
dc.descriptionThe main purpose of this paper is to prove a group-theoretic generalization of a theorem of Katz on isocrystals. Along the way we reprove the group-theoretic generalization of Mazur's inequality for isocrystals due to Rapoport-Richartz, and generalize from split groups to unramified groups a result of Kottwitz-Rapoport which determines when an affine Deligne-Lusztig subset of the affine Grassmannian is non-empty.
dc.identifierhttps://arxiv.org/abs/math/0307052
dc.identifierhttp://arxiv.org/abs/math/0307052
dc.identifierInternat. Math. Res. Notices 26 (2003), 1433-1447
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67971
dc.subjectRepresentation Theory
dc.subject11S25 (Primary); 14L05, 14F30 (Secondary)
dc.titleOn the Hodge-Newton decomposition for split groups
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