vix.ing · top · new · best · stats · spec

Characterization of coincidence site lattices of oblique planar lattices

2022/10/11 by M. A. Rodríguez-Andrade, Rodríguez-Andrade, Marco Antonio, G. Aragón-González +3
Engineering · Mathematics · #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Mathematics and Applications #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2210.06248

openalex publication_date 2022/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Coincidence site lattices of oblique planar lattices are algebraically characterized using as basic tool the Cartan-Dieudonné theorem, that is, the decomposition of an orthogonal transformation as a product of reflections. The case of rectangular lattices is worked out in detail. We use the rectangular lattices for obtain the characterization of the corresponding obliques.

Related