Given an irreducible representation of a complex simply connected semisimple algebraic group we consider the closure of the image of in . We determine for which the variety is normal and for which is smooth.
Étant donné une représentation irreductible d’un groupe complexe semi-simple et simplement connexe , nous considérons l’adhérence de l’image de dans . Nous déterminons les représentations pour lesquelles est normale, respectivement lisse.
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
@article{AIF_2011__61_6_2435_0, author = {Bravi, Paolo and Gandini, Jacopo and Maffei, Andrea and Ruzzi, Alessandro}, title = {Normality and non-normality of group compactifications in simple projective spaces}, journal = {Annales de l'Institut Fourier}, pages = {2435--2461}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {61}, number = {6}, year = {2011}, doi = {10.5802/aif.2679}, mrnumber = {2976317}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.2679/} }
TY - JOUR AU - Bravi, Paolo AU - Gandini, Jacopo AU - Maffei, Andrea AU - Ruzzi, Alessandro TI - Normality and non-normality of group compactifications in simple projective spaces JO - Annales de l'Institut Fourier PY - 2011 SP - 2435 EP - 2461 VL - 61 IS - 6 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.2679/ DO - 10.5802/aif.2679 LA - en ID - AIF_2011__61_6_2435_0 ER -
%0 Journal Article %A Bravi, Paolo %A Gandini, Jacopo %A Maffei, Andrea %A Ruzzi, Alessandro %T Normality and non-normality of group compactifications in simple projective spaces %J Annales de l'Institut Fourier %D 2011 %P 2435-2461 %V 61 %N 6 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.2679/ %R 10.5802/aif.2679 %G en %F AIF_2011__61_6_2435_0
Bravi, Paolo; Gandini, Jacopo; Maffei, Andrea; Ruzzi, Alessandro. Normality and non-normality of group compactifications in simple projective spaces. Annales de l'Institut Fourier, Volume 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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