#8811: Translation for elements of a root lattice
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Reporter: aschilling | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.4.3
Component: combinatorics | Keywords: root systems, affine weyl
groups, translations
Author: Nicolas M. Thiery | Upstream: N/A
Reviewer: Anne Schilling, ... | Merged:
Work_issues: |
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Description changed by nthiery:
Old description:
> Patch finalized on the Sage-Combinat patch server:
>
> http://combinat.sagemath.org/hgwebdir.cgi/patches/file/tip
> /trac_8811_reduced_word_of_translations-nt.patch
New description:
This patch implements translation for elements of a root lattice and
related features and fixes::
- New method `translation` for elements of a root lattice
- New methods `reduced_word_of_alcove_morphism`,
`dynkin_diagram_automorphism_of_alcove_morphism`,
`reduced_word_of_translation`,
`_test_reduced_word_of_translation`
- Added extensive TESTS to compare with Kashiwara's private notes
- Fixed dynkin diagram for type BC
- Fixed CartanType.translation_factors to implement its specification
correctly in affine type BC. Imported the full test suite from
MuPAD-Combinat. Also fixes and tests for proper typing of the
coefficients (ZZ/QQ).
- Bug fix in WeylGroup: the matrices were defined over QQ instead of
the base ring of the underlying root lattice realization.
Patch finalized on the Sage-Combinat patch server:
http://combinat.sagemath.org/hgwebdir.cgi/patches/file/tip
/trac_8811_reduced_word_of_translations-nt.patch
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8811#comment:3>
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