#18675: Add 'connected' as a class for graded Hopf algebras with basis.
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       Reporter:  kdilks             |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.8
      Component:  algebra            |   Resolution:
       Keywords:  days65             |    Merged in:
        Authors:  Jean-Baptiste      |    Reviewers:  zabrocki
  Priez                              |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  beb4ae7e68bcd8a2ab1879bb300fecf2cada353f
  public/ticket/18675                |     Stopgaps:
   Dependencies:                     |
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Comment (by zabrocki):

 Some comments about this last push.
 (a) side note: [https://groups.google.com/forum/?fromgroups#!topic/sage-
 devel/JMlLXGDCAy4 I had issues with compiling and pushing on the same copy
 of sage].
 (b) I could not make the line `S(x) := -\sum_{x^L\neq x} S(x^L) \times
 x^R` work so I changed it to `S(x) := -\sum_{x^L!=x} S(x^L) \cdot x^R`.
 For some reason the latex interpreter does not recognize `\neq` or
 `\times`...I fought with it for over an hour and just gave up.
 (c) I was not able to make `\begin{dcases*}...\end{dcases*}` work so I
 changed it to `\begin{cases}...\end{cases}`.
 (d) When I added the example to the categories section of the reference
 manual I noticed that the `finite_dimensional_algebras_with_basis` example
 was not in the list so I added it as well.
 (e) I changed the name of the example Hopf algebra from
 `GradedConnectedHopfAlgebraOfInteger` to
 `GradedConnectedCombinatorialHopfAlgebraWithPrimitiveGenerator`.  We could
 yet add an example of a `GradedConnectedTopologicalHopfAlgebra` to the
 same file.

--
Ticket URL: <http://trac.sagemath.org/ticket/18675#comment:20>
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