#16055: Implement Jordan algebras
-------------------------------------+-------------------------------------
       Reporter:  tscrim             |        Owner:  tscrim
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.4
      Component:  algebra            |   Resolution:
       Keywords:  jordan algebra     |    Merged in:
        Authors:  Travis Scrimshaw   |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  public/algebras/jordan-16055       |  021551c8d2a0d6f9d6751176a8c1fe65302ff2a0
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by tscrim):

 Here's why the `~` is safer than `/`:
 {{{
 sage: R.<q,t> = LaurentPolynomialRing(QQ)
 sage: 1 / R(2)
 1/2
 sage: _.parent()
 Fraction Field of Multivariate Polynomial Ring in q, t over Rational Field
 sage: ~R(2)
 1/2
 sage: _.parent()
 Multivariate Laurent Polynomial Ring in q, t over Rational Field
 }}}
 Although this might be fixed by #17740. However I think instead of `QQ`,
 we could just convert to (the fraction field of) the base ring. I'll test
 and make changes.

 I'm happy with setting `algebras_generators = basis`, and subclassing does
 not respect aliases (this has given me many headaches, but it makes sense
 from the python perspective). I'll do this on my next commit.

--
Ticket URL: <http://trac.sagemath.org/ticket/16055#comment:15>
Sage <http://www.sagemath.org>
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