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

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2016

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

2011

In this note we give a characterization of meet-projections in simple atomistic lattices which generalizes previous results on…

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This paper has been withdrawn by the authors due to crucial error in the main proof (located in Section 2.4).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

2004

In this paper I study musical harmony from the rational point of view, stressing the significance of integer ratios. The main…

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…

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…