Some explicit constructions of integral structures in quaternion algebras
Number Theory
2008-01-16 v2 Algebraic Geometry
Abstract
Let B be an undefined quaternion algebra over Q. Following the explicit chacterization of some Eichler orders in B given by Hashimoto, we define explicit embeddings of these orders in some local rings of matrices; we describe the two natural inclusions of an Eichler order of leven Nq in an Eichler order of level N. Moreover we provide a basis for a chain of Eichler orders in B and prove results about their intersection.
Keywords
Cite
@article{arxiv.0801.2089,
title = {Some explicit constructions of integral structures in quaternion algebras},
author = {Miriam Ciavarella and Lea Terracini},
journal= {arXiv preprint arXiv:0801.2089},
year = {2008}
}