Simple linear compactifications of odd orthogonal groups
Algebraic Geometry
2018-06-26 v2 Representation Theory
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.
Cite
@article{arxiv.1103.2085,
title = {Simple linear compactifications of odd orthogonal groups},
author = {Jacopo Gandini},
journal= {arXiv preprint arXiv:1103.2085},
year = {2018}
}
Comments
v2: several simplifications, final version. To appear in J. Algebra