#16948: Construct a quaternion algebra over a number field by specifying its
ramification
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Reporter: mmasdeu | Owner:
Type: | Status: new
enhancement | Milestone: sage-6.4
Priority: minor | Keywords: quaternion algebra,
Component: number | ramification, number fields
theory | Authors: Marc Masdeu, Xavier Guitart
Merged in: | Report Upstream: N/A
Reviewers: | Branch:
Work issues: | Dependencies:
Commit: |
Stopgaps: |
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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.
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Ticket URL: <http://trac.sagemath.org/ticket/16948>
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