Article ID Journal Published Year Pages File Type
4602520 Linear Algebra and its Applications 2008 8 Pages PDF
Abstract

Let V denote the n-dimensional row vector space over a finite field Fq, and fix a subspace W of dimension n-d. Let L(n,d)=P∪{V}, where P is the set of all the subspaces of V intersecting trivially with W. Partially ordered by ordinary or reverse inclusion, two families of finite atomic lattices are obtained. This article discusses their geometricity, and computes their characteristic polynomials.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory