We classify the simple linear compactifications of SO(2r + 1), namely those compactifications with a unique closed orbit which are obtained by taking the closure of the SO(2r + 1) x SO(2r + 1)-orbit of the identity in a projective space P(End(V)), where V is a finite dimensional rational SO(2r + 1)-module.
J. Gandini (2013). Simple linear compactifications of odd orthogonal groups. JOURNAL OF ALGEBRA, 375, 258-279 [10.1016/j.jalgebra.2012.11.011].
Simple linear compactifications of odd orthogonal groups
J. Gandini
2013
Abstract
We classify the simple linear compactifications of SO(2r + 1), namely those compactifications with a unique closed orbit which are obtained by taking the closure of the SO(2r + 1) x SO(2r + 1)-orbit of the identity in a projective space P(End(V)), where V is a finite dimensional rational SO(2r + 1)-module.File in questo prodotto:
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