Mathematics – Number Theory
Scientific paper
2011-11-07
Mathematics
Number Theory
Scientific paper
If H and D are two orders in a central simple algebra A with D of maximal rank, the representation field F(D|H) is a subfield of the spinor class field of the genus of D which determines the set of spinor genera of orders in that genus representing the order H. Previous work have focused on two cases, maximal orders D and commutative orders H. In this work, we show how to compute the representation field F(D|H) when D is the intersection of a finite family of maximal orders, e.g., an Eichler order, and H is arbitrary. Examples are provided.
No associations
LandOfFree
Eichler orders, trees and Representation Fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Eichler orders, trees and Representation Fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Eichler orders, trees and Representation Fields will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-689261