Simple linear compactifications of odd orthogonal groups

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.

v2: several simplifications, final version. To appear in J. Algebra

References in corpus (2)

• Normality and non-normality of group compactifications in simple projective spaces
• Normality and smoothness of simple linear group compactifications

Cited by in corpus (1)

• Normality and smoothness of simple linear group compactifications