About Knop's action of the Weyl group on the set of the set of orbits of a spherical subgroup in the flag manifold

Details About Knop's action of the Weyl group on the set of the set of orbits of a spherical subgroup in the flag manifold About Knop's action of the Weyl group on the set of the set of orbits of a spherical subgroup in the flag manifold

2004-02-24

arxiv.org/abs/math/0402390v1

Mathematics

Algebraic Geometry

Scientific paper

Let $G$ be a complex connected reductive algebraic group. Let $G/B$ denote the flag variety of $G$. Let $H$ be an algebraic subgroup of $G$ such that the set ${\bf H}(G/B)$ of the $H$-orbits in $G/B$ is finite ; $H$ is said to be {\it spherical}. These orbits are of importance in representation theory and in the geometry of the $G$-equivariant embeddings of $G/H$. In 1995, F. Knop has defined an action of the Weyl group $W$ of $G$ on ${\bf H}(G/B)$. The aim of this note is to construct natural invariants separating the $W$-orbits of Knop's action.

Affiliated with

Also associated with

No associations

Rating

About Knop's action of the Weyl group on the set of the set of orbits of a spherical subgroup in the flag manifold does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with About Knop's action of the Weyl group on the set of the set of orbits of a spherical subgroup in the flag manifold, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and About Knop's action of the Weyl group on the set of the set of orbits of a spherical subgroup in the flag manifold will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-352594