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Is the Luna stratification intrinsic?

Jochen Kuttler; Zinovy Reichstein — 2008

Annales de l’institut Fourier

Let $G \to GL (V)$ be a representation of a reductive linear algebraic group $G$ on a finite-dimensional vector space $V$ , defined over an algebraically closed field of characteristic zero. The categorical quotient $X = V // G$ carries a natural stratification, due to D. Luna. This paper addresses the following questions: (i) Is the Luna stratification of $X$ intrinsic? That is, does every automorphism of $V // G$ map each stratum to another stratum? (ii) Are the individual Luna strata in $X$ intrinsic? That is,...

Singularities of affine Schubert varieties.

Kuttler, Jochen; Lakshmibai, Venkatramani — 2009

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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