Ideal classes of orders in quaternion algebras
Number Theory
2025-02-28 v3 Rings and Algebras
Abstract
We provide an algorithm that, given any order in a quaternion algebra over a global field, computes representatives of all right equivalence classes of right -ideals, including the non-invertible ones. The theory is developed for a more general kind of algebras.
Cite
@article{arxiv.2211.13156,
title = {Ideal classes of orders in quaternion algebras},
author = {Stefano Marseglia and Harry Smit},
journal= {arXiv preprint arXiv:2211.13156},
year = {2025}
}
Comments
accepted version, with an appendix by John Voight