#15245: Pfaffian of a skew-symmetric matrix
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Reporter: darij | Owner:
Type: enhancement | Status:
Priority: major | positive_review
Component: combinatorics | Milestone: sage-5.13
Keywords: matrix, sage-combinat, | Resolution:
pfaffian | Merged in:
Authors: Darij Grinberg | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: #14117 | Stopgaps:
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Comment (by darij):
That's the hornet's nest I was talking about. With the definition you
give, the Pfaffian lacks many of its nice properties like squaring to the
determinant. It is the definition used on http://en.wikipedia.org/wiki
/Skew-symmetric_matrix but not the definition used on
http://en.wikipedia.org/wiki/Pfaffian . Since mathematicians can't agree,
I figured it is easier to check for the kind of skew-symmetry needed in
the definition of the Pfaffian rather than push that definition into the
rest of the code. Is there a better solution?
--
Ticket URL: <http://trac.sagemath.org/ticket/15245#comment:8>
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