Monoid embeddings of symmetric varieties
Volume 157 / 2019
Colloquium Mathematicum 157 (2019), 17-33
MSC: 14M17, 20G05, 20M32.
DOI: 10.4064/cm7644-7-2018
Published online: 15 February 2019
Abstract
We determine when an antiinvolution on an adjoint semisimple linear algebraic group extends to an antiinvolution on a $J$-irreducible monoid. Using this information, we study a special class of compactifications of symmetric varieties. Extending the work of Springer on involutions, we describe the parametrizing sets of Borel orbits in these special embeddings.
