Branches on division algebras
Number Theory
2017-12-12 v1
Abstract
We describe the set of maximal orders in a 2-by-2 matrix algebra over a non-commutative local division algebra B containing a given suborder, for certain important families of such suborders, including rings of integers of division subalgebras of B or most maximal semisimple commutative subalgebras.
Cite
@article{arxiv.1712.03629,
title = {Branches on division algebras},
author = {Manuel Arenas and Luis Arenas-Carmona},
journal= {arXiv preprint arXiv:1712.03629},
year = {2017}
}