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Let $G$ be a connected reductive subgroup of a complex connected reductive group $\hat{G}$.
Domingo Luna, Slices étales , Sur les groupes algébriques, Soc. Math. France, Paris, 1973, pp. 81–105. Bull. Soc. Math. France, Paris, Mémoire 33
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D. Luna and R. W. Richardson, A generalization of the Chevalley restriction theorem , Duke Math. J. 46
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V. L. Popov and È. B. Vinberg, Algebraic Geometry IV , Encyclopedia of Mathematical Sciences, vol. 55, ch. Invariant Theory, pp. 123–284, Springer-Verlag, 1991
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D. Mumford, J. Fogarty, and F. Kirwan, Geometric invariant theory , 3d ed., Springer Verlag, New York, 1994
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Igor V. Dolgachev and Yi Hu, Variation of geometric invariant theory quotients , Inst. Hautes Études Sci. Publ. Math. 87
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Reyer Sjamaar, Convexity properties of the moment mapping re-examined , Adv. Math. 138
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Michel Brion, On the general faces of the moment polytope , Internat. Math. Res. Notices (1999), no. 4, 185–201
1999
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N. Ressayre, The GIT-equivalence for G G -line bundles , Geom. Dedicata 81
2000
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Prakash Belkale and Shrawan Kumar, Eigenvalue problem and a new product in cohomology of flag varieties , Invent. Math. 166
2006
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2007
Later among the works it cites.
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