Simple linear compactifications of odd orthogonal groups

Details Simple linear compactifications of odd orthogonal groups Simple linear compactifications of odd orthogonal groups

2011-03-10

arxiv.org/abs/1103.2085v1

Mathematics

Algebraic Geometry

31 pages, 8 tables

Scientific paper

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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