Simple linear compactifications of odd orthogonal groups
classification
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math.RT
keywords
compactificationslinearorbitsimpleclassifyclosedclosuredimensional
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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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