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.

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/714341
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