Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4602520 | Linear Algebra and its Applications | 2008 | 8 Pages |
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.
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