Weylgruppe und Momentabbildung

Knop F (1990)

Publication Language: German

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 1990

Journal

Inventiones Mathematicae Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 99

Pages Range: 1-23

Journal Issue: 1

DOI: 10.1007/BF01234409

Abstract

Let G be a connected, reductive group defined over an alebraically closed field of characteristic zero. We assign to any G-variety X a finite cristallographic reflection group W_X by means of the moment map on the cotangent bundle. This generalizes the "little Weyl group" of a symmetric space. The Weyl group W_X is related to the equivariant compactification theory of X. We determine the closure of the image of the moment map and the generic isotropy group of the action of G on the cotangent bundle. As a byproduct we determine the ideal of elements of U(g) which act trivially on X as a differential operator.

Authors with CRIS profile

Friedrich Knop Lehrstuhl für Mathematik (Algebra und Geometrie)

How to cite

APA:

Knop, F. (1990). Weylgruppe und Momentabbildung. Inventiones Mathematicae, 99(1), 1-23. https://dx.doi.org/10.1007/BF01234409

MLA:

Knop, Friedrich. "Weylgruppe und Momentabbildung." Inventiones Mathematicae 99.1 (1990): 1-23.

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