| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4583422 | Finite Fields and Their Applications | 2008 | 8 Pages |
Abstract
Let ACG(n,Fq) be one of n-dimensional affine-classical spaces over a finite field Fq, and let M be an orbit of totally isotropic flats under the corresponding affine-classical group. Denote by L the set of all the intersections of totally isotropic flats in M. If we partially order L by ordinary or reverse inclusion, two families of finite atomic lattices are obtained. This paper discusses their geometricity and computes their characteristic polynomials.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
