Journal of Lie Theory

no. 1
On Exceptional Completions of Symmetric Varieties
Journal of Lie Theory, Volume 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.
DOI: 10.5802/jolt.395
Classification: 14M17, 14L30
Keywords: Complete symmetric variety, exceptional involution 
@article{JOLT_2006_16_1_a2,
     author = {R. Chiriv{\`\i} and A. Maffei},
     title = {On {Exceptional} {Completions} of {Symmetric} {Varieties}},
     journal = {Journal of Lie Theory},
     pages = {39--46},
     year = {2006},
     volume = {16},
     number = {1},
     doi = {10.5802/jolt.395},
     zbl = {1102.14034},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.395/}
}
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R. Chirivì; A. Maffei. On Exceptional Completions of Symmetric Varieties. Journal of Lie Theory, Volume 16 (2006) no. 1, pp. 39-46. doi: 10.5802/jolt.395

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