A Steinberg cross section for non-connected affine Kac-Moody groups

Link:

https://doi.org/10.4153/CJM-2006-026-7

Autor/in:

Mohrdieck, Stephan

Erscheinungsjahr:

2006

Medientyp:

Text

Schlagworte:

Article
Article

Beschreibung:

In this paper we generalise the concept of a Steinberg cross section to non-connected affine Kac-Moody groups. This Steinberg cross section is a section to the restriction of the adjoint quotient map to a given exterior connected component of the affine Kac-Moody group. (The adjoint quotient is only defined on a certain submonoid of the entire group, however, the intersection of this submonoid with each connected component is non-void.) The image of the Steinberg cross section consists of a "twisted Coxeter cell", a transversal slice to a twisted Coxeter element. A crucial point in the proof of the main result is that the image of the cross section can be endowed with a ℂ*-action. © Canadian Mathematical Society 2006.

Lizenz:

info:eu-repo/semantics/closedAccess

Quellsystem:

Forschungsinformationssystem der UHH

Interne Metadaten

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