Branches on division algebras

2017/12/11 by Arenas, Manuel, Arenas-Carmona, Luis
#11S45-11R52-16H20 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1712.03629

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.

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