Representation fields for commutative orders
Number Theory
2011-04-12 v1
Abstract
A representation field for a non-maximal order in a central simple algebra is a subfield of the spinor class field of maximal orders which determines the set of spinor genera of maximal orders containing a copy of . Not every non-maximal order has a representation field. In this work we prove that every commutative order has a representation field and give a formula for it. The main result is proved for central simple algebras over arbitrary global fields.
Keywords
Cite
@article{arxiv.1104.1809,
title = {Representation fields for commutative orders},
author = {Luis Arenas-Carmona},
journal= {arXiv preprint arXiv:1104.1809},
year = {2011}
}
Comments
Annales de l'institut Fourier, vol 61, 2011