Geometric lattice

Known as: Matroid lattice

In the mathematics of matroids and lattices, a geometric lattice is a finite atomistic semimodular lattice, and a matroid lattice is an atomistic…

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.

2016

This paper considers physical layer security and the design of secure coset codes for wiretap channels, where information is not…

2016

This work proposes an alternative approach to the so-called lattice of embedded subsets, which is included in the product of the…

2009

This paper has been withdrawn by the authors due to crucial error in the main proof (located in Section 2.4). The authors…

2008

iii Chapter 1: Introduction 1 Chapter 2: Preliminaries 3 2.1 Finite Reflection Groups…

2003

Let F(n+l) q2 be the (n+ l)-dimensional vector space over the finite field Fq2 , and Un+l,n(Fq2) the singular Unitary groups of…

2002

Abstract. Let $ \Gamma $ be a lattice in a noncompact simple Lie Group G, where $ \mathbb{R} - {\rm rank}(G) \geq 2 $. Suppose…

1997

We introduce the concept of a bounded below set in a lattice. This can be used to give a generalization of Rota's broken circuit…

1991

∈F} be the row vector space of finite dimension n over F. Let be a finite set ofsubspaces of Vsuch that U=（0）. And let L= L…

1990

An efficient lattice vector quantization design and the associated fast coding algorithm are proposed for high-bit-rate, high…

1976

Every finite lattice is embeddable in a finite, four-generated, simple lattice. The purpose of this note is to prove Theorem…