Article ID Journal Published Year Pages File Type
4597030 Journal of Pure and Applied Algebra 2012 15 Pages PDF
Abstract

We study projective homogeneous varieties under an action of a projective unitary group (of outer type). We are especially interested in the case of (unitary) grassmannians of totally isotropic subspaces of a hermitian form over a field, the main result saying that these grassmannians are 2-incompressible if the hermitian form is generic. Applications to orthogonal grassmannians are provided.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory