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Normality and non-normality of group compactifications in simple projective spaces

Paolo Bravi; Jacopo Gandini; Andrea Maffei; Alessandro Ruzzi — 2011

Annales de l’institut Fourier

Given an irreducible representation $V$ of a complex simply connected semisimple algebraic group $G$ we consider the closure $X$ of the image of $G$ in $ℙ (End (V))$ . We determine for which $V$ the variety $X$ is normal and for which $V$ is smooth.

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