On the Structure of the Schild Group in Relativity Theory
| Autor: | Ch. Pommerenke, Gerd Jensen |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
Group (mathematics) General Mathematics Lorentz transformation 010102 general mathematics Integer lattice Structure (category theory) 010103 numerical & computational mathematics Lattice of subgroups 01 natural sciences symbols.namesake Theory of relativity Matrix group symbols 0101 mathematics Group theory Mathematics |
| Zdroj: | Canadian Mathematical Bulletin. 60:774-790 |
| ISSN: | 1496-4287 0008-4395 |
| DOI: | 10.4153/cmb-2016-084-8 |
| Popis: | Alfred Schild has established conditions that Lorentz transformationsmap world-vectors (ct, x, y, z) with integer coordinates onto vectors of the same kind. These transformations are called integral Lorentz transformations.This paper contains supplements to our earlier work with a new focus on group theory. To relate the results to the familiar matrix group nomenclature, we associate Lorentz transformations with matrices in SL(z, ℂ). We consider the lattice of subgroups of the group originated in Schild’s paper and obtain generating sets for the full group and its subgroups. |
| Databáze: | OpenAIRE |
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