Centralizers of generic elements of Newton strata in the adjoint quotients of reductive groups

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dc.creatorBoyarchenko, Mitya
dc.creatorSabitova, Maria
dc.date2006-05-26
dc.date.accessioned2026-07-07T07:14:33Z
dc.date.available2026-07-07T07:14:33Z
dc.descriptionWe study the Newton stratification of the adjoint quotient of a connected split reductive group G with simply connected derived group over the field F of formal Laurent series in one variable over the field of complex numbers. Our main result describes the centralizer of a regular semisimple element in G(F) whose image in the adjoint quotient lies in a certain generic subset of a given Newton stratum. Other noteworthy results include analogues of some results of Springer on regular elements of finite reflection groups, as well as a geometric construction of a well known homomorphism from the fundamental group of a reduced and irreducible root system to the Weyl group of the system.
dc.description22 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0605693
dc.identifierhttp://arxiv.org/abs/math/0605693
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112922
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.titleCentralizers of generic elements of Newton strata in the adjoint quotients of reductive groups
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