#18624: Implement the lift theorem for linear matroids
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Reporter: Rudi | Owner: Rudi
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.8
Component: matroid theory | Keywords:
Merged in: | Authors: Rudi Pendavingh
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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The `lift theorem' gives conditions under which a matroid representation
over a partial field can be transformed to a representation over another
partial field, using a lift function to map the cross ratios.
Regardless whether these conditions are met, there is a polynomial-time
procedure to construct a candidate representation over the target partial
field, given a lift function. If the conditions of the theorem are met,
then this candidate representation is the right one.
Write a method for LinearMatroid, which given a lift function, generates
such a candidate representation.
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Ticket URL: <http://trac.sagemath.org/ticket/18624>
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