Mathematics – Algebraic Geometry
Scientific paper
2004-09-27
Mathematics
Algebraic Geometry
19 pages
Scientific paper
A subset X of a vector space V is said to have the "Separation Property" if it separates linear forms in the following sense: given a pair (a, b) of linearly independent forms on V there is a point x on X such that a(x)=0 and b(x) is not equal to 0. A more geometric way to express this is the following: every homogeneous hyperplane H in V is linearly spanned by its intersection with X. The separation property was first asked for conjugacy classes in simple Lie algebras. We give an answer for orbit closures in representation spaces of an algebraic torus. We consider also the strong and the weak separation properties. It turns out that toric orbits well illustrate these concepts.
No associations
LandOfFree
The separation properties for closures of toric orbits 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 The separation properties for closures of toric orbits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The separation properties for closures of toric orbits will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-447952