1Dip. di Matematica, Università di Pisa, Via Buonarroti 2, 56127 Pisa, Italy 2Dip. di Matematica, Università di Roma "La Sapienza", P.le Aldo Moro 5, 00185 Roma, Italy
Journal of Lie Theory, Tome 16 (2006) no. 1, pp. 39-46
Let $G$ be a simple group with an exceptional involution $\sigma$ having $H$ as fixed point set. We study the embedding of $G/H$ in the projective space ${\mathbb P}(V)$ for a simple $G$--module $V$ with a line fixed by $H$ but having no nonzero vector fixed by $H$. For a certain class of such modules $V$ we describe the closure of $G/H$ proving in particular that it is a smooth variety.
1
Dip. di Matematica, Università di Pisa, Via Buonarroti 2, 56127 Pisa, Italy
2
Dip. di Matematica, Università di Roma "La Sapienza", P.le Aldo Moro 5, 00185 Roma, Italy
Rocco Chirivì; Andrea Maffei. On Exceptional Completions of Symmetric Varieties. Journal of Lie Theory, Tome 16 (2006) no. 1, pp. 39-46. http://geodesic.mathdoc.fr/item/JOLT_2006_16_1_a2/
@article{JOLT_2006_16_1_a2,
author = {Rocco Chiriv{\`\i} and Andrea Maffei},
title = {On {Exceptional} {Completions} of {Symmetric} {Varieties}},
journal = {Journal of Lie Theory},
pages = {39--46},
year = {2006},
volume = {16},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JOLT_2006_16_1_a2/}
}
TY - JOUR
AU - Rocco Chirivì
AU - Andrea Maffei
TI - On Exceptional Completions of Symmetric Varieties
JO - Journal of Lie Theory
PY - 2006
SP - 39
EP - 46
VL - 16
IS - 1
UR - http://geodesic.mathdoc.fr/item/JOLT_2006_16_1_a2/
ID - JOLT_2006_16_1_a2
ER -
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%J Journal of Lie Theory
%D 2006
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%V 16
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2006_16_1_a2/
%F JOLT_2006_16_1_a2
