#16976: Conjugacy classes and rational period functions for Hecke triangle
groups
-------------------------------------+-------------------------------------
Reporter: jj | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.4
Component: modular forms | Keywords: hecke triangle
Merged in: | group conjugacy class rational
Reviewers: | period function
Work issues: | Authors: Jonas Jermann
Commit: | Report Upstream: N/A
ff8c466bf9dcaec73cba70fa710c5bdebc95c23c| Branch:
Stopgaps: | u/jj/triangle_conjugacy
| Dependencies: #16936
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The ticket adds several new features to Hecke triangle groups (resp.
elements):
- "Block" decomposition of elements. This determines the conjugacy type of
elements
- Several alternative representation methods for elements
- Lambda-continued fraction expansion of fixed points (exact!)
In particular the primitive part of a group element can be determined
- Checks and generation of reduced and simple elements, Checks for Hecke
symmetry
- Slash operator
- Rational period functions associated to hyperbolic elements (resp. their
fixed point)
- class number and class representatives for a given discriminant
In particular discriminants can be listed, so can all simple/reduced
elements
for a given discriminant
- improved documentation and minor additions/modifications
The code to determine class numbers/representatives is very slow at the
moment. :-(
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Ticket URL: <http://trac.sagemath.org/ticket/16976>
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