Coincidence Site Modules in 3-Space

The coincidence site lattice (CSL) problem and its generalization to Z-modules in Euclidean 3-space is revisited, and various results and conjectures are proved in a unified way, by using maximal orders in quaternion algebras of class number 1 over real algebraic number fields.

• Type: Journal
• Year: 2007
• Where: DCG
• Authors: Michael Baake, Peter A. B. Pleasants, Ulf Rehmann
• Keywords: Coincidence Site Lattice, DCG 2007, Maximal Orders, Real Algebraic Number