#18043: Support for HyperbolicPlane() in modform_hecketriangle
-------------------------------------+-------------------------------------
       Reporter:  jj                 |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  minor              |    Milestone:  sage-6.10
      Component:  modular forms      |   Resolution:
       Keywords:  hecke triangle     |    Merged in:
  hyperbolic                         |    Reviewers:
        Authors:  Jonas Jermann      |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  e9777f4745743eb8f68cc11ff3217d67e2dfa528
  u/jj/hecke_hyperbolic              |     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------

Comment (by tscrim):

 I will trust you that the math is sound (better if there is a quick
 reference I can check). Here is a technical review.

 - You might want to consider implementing a `_act_on_` for the Hecke
 triangle group or `_acted_upon_` or `_get_action_` for the points of the
 hyperbolic plane.
 - I believe this comment is done by `as_isometry`:
   {{{
         # TODO: Make it possible to interpret elements as isometries of
 the HyperbolicPlane
         #       and possibly use/implement actions using the
 HyperbolicPlane model
   }}}
 - The name `as_isometry` is somewhat vague. Perhaps the more verbose
 `as_hyperbolic_plane_isometry`? Unless it is well-understood that this
 comes from isometries of the hyperbolic plane. You might also want to
 consider adding a second argument that takes a model of the hyperbolic
 plane (with the default being `'UHP'`).
 - More of a side remark, the docstrings should be aligned as follows for
 better typesetting in the html/pdf documentation:
   {{{
 INPUT:

 - ``foo`` -- a really log docstring that wants to keep going should wrap
   around and start at the same first non-whitespace character after the
   bullet point object ``-``
   }}}
 - Another side remark, I would make this change:
   {{{#!diff
 -        It is possible to evaluate at points of ``HyperbolicPlane()``:
 -
 -        ::
 +        It is possible to evaluate at points of ``HyperbolicPlane()``::
   }}}

 Both of the side remarks do not need to be addressed for me to set this to
 a positive review.

--
Ticket URL: <http://trac.sagemath.org/ticket/18043#comment:8>
Sage <http://www.sagemath.org>
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