English

Monoid Embeddings of Symmetric Varieties

Algebraic Geometry 2018-08-01 v3 Representation Theory

Abstract

We determine when an antiinvolution on an adjoint semisimple linear algebraic group extends to an antiinvolution on a JJ-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.

Keywords

Cite

@article{arxiv.1408.2682,
  title  = {Monoid Embeddings of Symmetric Varieties},
  author = {Mahir Bilen Can and Roger Howe and Lex Renner},
  journal= {arXiv preprint arXiv:1408.2682},
  year   = {2018}
}