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arXiv · 1103.2085

Simple linear compactifications of odd orthogonal groups

Jacopo Gandini
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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)xSO(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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Jacopo Gandini. 2011-03-10. Simple linear compactifications of odd orthogonal groups. https://doi.org/10.1016/j.jalgebra.2012.11.011

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