#5409: [with patch; needs review] rewrite quaternion algebras -- the current
implementation isn't sufficiently good
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 Reporter:  was          |       Owner:  tbd     
     Type:  enhancement  |      Status:  new     
 Priority:  major        |   Milestone:  sage-3.4
Component:  algebra      |    Keywords:          
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Comment(by was):

 I found a few issues with jvoight's referee patch, which I'm noting here:

 * In inner_product_matrix the docs say: "The standard basis 1, i, j, k is
 orthogonal, so this matrix is just the diagonal matrix with diagonal
 entries 1, a, b, a*b."  In the code, though, it's 2,2*a,2*b,2*a*b.

 * Line 475 is:

 "and j*i=-i*j.  K is a field not of characteristic and a,b are nonzero
 elements of K"

 but it should say "and j*i=-i*j.  K is a field not of characteristic 2 and
 a,b are nonzero elements of K"  (the missing 2).

 Otherwise the referee patch from jvoight looks very very good!

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5409#comment:10>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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