no. 6
Normality and non-normality of group compactifications in simple projective spaces
[Normalité et non-normalité des plongements d’un groupe dans un espace projectif simple]
Bravi, Paolo1 ; Gandini, Jacopo1 ; Maffei, Andrea1 ; Ruzzi, Alessandro1
1 Dip.to di Matematica Università di Roma “La Sapienza” P.le A. Moro, 5 00185 ROMA ITALY
Annales de l'Institut Fourier, Tome 61 (2011) no. 6, pp. 2435-2461.

Étant donné une représentation irreductible V d’un groupe complexe semi-simple et simplement connexe G, nous considérons l’adhérence X de l’image de G dans ℙ(End(V)). Nous déterminons les représentations V pour lesquelles X est normale, respectivement lisse.

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.

DOI : 10.5802/aif.2679
Classification : 14L30, 14M17
Keywords: semisimple algebraic groups, group compactifications
Mot clés : groupes algébriques semi-simples, plongements projectifs d’un groupe

Bravi, Paolo 1 ; Gandini, Jacopo 1 ; Maffei, Andrea 1 ; Ruzzi, Alessandro 1

1 Dip.to di Matematica Università di Roma “La Sapienza” P.le A. Moro, 5 00185 ROMA ITALY 
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Bravi, Paolo; Gandini, Jacopo; Maffei, Andrea; Ruzzi, Alessandro. Normality and non-normality of group compactifications in simple projective spaces. Annales de l'Institut Fourier, Tome 61 (2011) no. 6, pp. 2435-2461. doi : 10.5802/aif.2679. https://aif.centre-mersenne.org/articles/10.5802/aif.2679/

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