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) × 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

GANDINI, Jacopo
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) × 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.
Group compactifications; Odd orthogonal groups; Semisimple algebraic groups
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/10637
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