#17909: Rankin Cohen brackets for (quasi) modular forms for Hecke triangle
groups
-------------------------------------+-------------------------------------
Reporter: jj | Owner:
Type: enhancement | Status: needs_review
Priority: minor | Milestone: sage-6.7
Component: modular forms | Resolution:
Keywords: modular forms | Merged in:
hecke triangle groups rankin | Reviewers:
cohen bracket | Work issues:
Authors: Jonas Jermann | Commit:
Report Upstream: N/A | 13968052652e3c480ab9025a827ad5eb986ed177
Branch: | Stopgaps:
u/jj/rankin_cohen_bracket |
Dependencies: #17261 |
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Description changed by jj:
Old description:
> This ticket adds support for Rankin Cohen brackets for (quasi) modular
> forms.
> The formulas shouldn't changefor Hecke triangle groups.
>
> The ticket also adds support for listing the homogeneous and quasi parts
> of an element.
>
> See:
>
> - http://arxiv.org/abs/math/0509653
> - http://arxiv.org/abs/1306.3634v2
>
> Possible Todos:
> - Review the definition for more general analytic types (quasi
> weak/meromorphic forms)
> - Restrict/validate the parameters s, t
> - Review the algebraic structure of the bracket:
> If s or t is None the bracket is no longer bilinear but it satisfy a
> Leibnitz rule?
> - Explore alternative brackets
> - Extend the definition from form spaces to form rings?
New description:
This ticket adds support for Rankin Cohen brackets for (quasi) modular
forms.
The formulas shouldn't changefor Hecke triangle groups.
The ticket also adds support for listing the homogeneous and quasi parts
of an element.
See:
- http://arxiv.org/abs/math/0509653
- http://arxiv.org/abs/1306.3634v2
Also see:
http://math.univ-bpclermont.fr/~royer/ens/Mali/M2_Mali.html
Possible Todos:
- Review the definition for more general analytic types (quasi
weak/meromorphic forms)
- Restrict/validate the parameters s, t
- Review the algebraic structure of the bracket:
If s or t is None the bracket is no longer bilinear but it satisfy a
Leibnitz rule?
- Explore alternative brackets
- Extend the definition from form spaces to form rings?
--
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Ticket URL: <http://trac.sagemath.org/ticket/17909#comment:8>
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