#20973: Cartan type Aoo
-------------------------------------+-------------------------------------
       Reporter:  andrew.mathas      |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  major              |    Milestone:  sage-7.3
      Component:  combinatorics      |   Resolution:
       Keywords:  Cartan type, A     |    Merged in:
  infinity                           |
        Authors:  Andrew Mathas      |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/andrew.mathas/cartan_type_aoo    |  257b283a7b30fc46cc5bae0bbfcd12037e56eb62
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Description changed by andrew.mathas:

Old description:

> Gives a *minimal* implementation of the `A_oo` Cartan type:
> {{{#!sage
> sage: CartanType(['A',oo])
> ['A', oo]
> sage: CartanType(['A',oo]).is_irreducible()
> True
> sage: CartanType(['A',oo]).is_simply_laced()
> True
> sage: print(CartanType(['A', oo]).ascii_art())
> ...---O---O---O---O---O---O---O---...
>      -3  -2  -1   0   1   2   3
> }}}
>
> In addition, the ticket fixes the following error an `CartanType`:
> {{{#!sage
> sage: CartanType(['A',-1])
>   File "<string>", line unknown
>
>     ^
> SyntaxError: unexpected EOF while parsing
> }}}
>
> See related discussion on [https://groups.google.com/forum/#!topic/sage-
> combinat-devel/tnQngybmlI4 sage-combinat].

New description:

 Gives a ''minimal'' implementation of the `A_oo` Cartan type:
 {{{#!sage
 sage: CartanType(['A',oo])
 ['A', oo]
 sage: CartanType(['A',oo]).is_irreducible()
 True
 sage: CartanType(['A',oo]).is_simply_laced()
 True
 sage: print(CartanType(['A', oo]).ascii_art())
 ...---O---O---O---O---O---O---O---...
      -3  -2  -1   0   1   2   3
 }}}

 In addition, the ticket fixes the following error an `CartanType`:
 {{{#!sage
 sage: CartanType(['A',-1])
   File "<string>", line unknown

     ^
 SyntaxError: unexpected EOF while parsing
 }}}

 See related discussion on [https://groups.google.com/forum/#!topic/sage-
 combinat-devel/tnQngybmlI4 sage-combinat].

--

--
Ticket URL: <https://trac.sagemath.org/ticket/20973#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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