Skip to content

Construct a quaternion algebra over a number field by specifying its ramification #16948

Open
@mmasdeu

Description

There is a need for the constructor QuaternionAlgebra to take as input a number field F and a ramification (specified by an ideal D in F and a set of real places S of F) and which constructs a quaternion algebra over F with ramified precisely at the primes dividing D and at the places in S.

We have code to add here, which is now being tested and documented.

CC: @tornaria

Component: number theory

Keywords: quaternion algebra, ramification

Author: Marc Masdeu, Xavier Guitart

Branch/Commit: u/mmasdeu/16948-review @ fcf1a69

Issue created by migration from https://trac.sagemath.org/ticket/16948

Activity

Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment

Metadata

Assignees

No one assigned

    Type

    No type

    Projects

    No projects

    Milestone

    No milestone

    Relationships

    None yet

    Development

    No branches or pull requests

    Issue actions