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

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We 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.
22 pages, LaTeX

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Representation Theory, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/112922

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605693
 http://arxiv.org/abs/math/0605693

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arXiv