#13800: sign error in Steenrod algebra multiplication
--------------------------------------+-------------------------------------
       Reporter:  cnassau             |         Owner:  jhpalmieri     
           Type:  defect              |        Status:  positive_review
       Priority:  minor               |     Milestone:  sage-5.5       
      Component:  algebraic topology  |    Resolution:                 
       Keywords:  Steenrod algebra    |   Work issues:                 
Report Upstream:  N/A                 |     Reviewers:  John Palmieri  
        Authors:  Christian Nassau    |     Merged in:                 
   Dependencies:                      |      Stopgaps:                 
--------------------------------------+-------------------------------------
Changes (by jhpalmieri):

  * status:  needs_review => positive_review


Old description:

> There is a sign error in the Steenrod multiplication routine at odd
> primes: with
>
>   {{{
>     A=SteenrodAlgebra(3)
>     Q=A.Q_exp
>     P=A.P
>     print (Q(0,1)*P(3))*Q(1,1)
>     print Q(0,1)*(P(3)*Q(1,1))
>   }}}
>
> one gets
>
>   {{{
>     Q_0 Q_1 Q_2
>     2 Q_0 Q_1 Q_2
>   }}}
>
> Only the 2nd answer is correct.

New description:

 There is a sign error in the Steenrod multiplication routine at odd
 primes: with

   {{{
     A=SteenrodAlgebra(3)
     Q=A.Q_exp
     P=A.P
     print (Q(0,1)*P(3))*Q(1,1)
     print Q(0,1)*(P(3)*Q(1,1))
   }}}

 one gets

   {{{
     Q_0 Q_1 Q_2
     2 Q_0 Q_1 Q_2
   }}}

 Only the 2nd answer is correct.

 ---------

 Apply [attachment:trac_13800-cn.patch].

--

Comment:

 I couldn't get your patch to apply, so I made a new one. Mercurial queues
 are a good way to deal with this sort of situation, in my experience.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13800#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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