#15361: Branching Rules for Exceptional Groups
-------------------------------------+-------------------------------------
Reporter: bump | Owner: bump
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.1
Component: combinatorics | Resolution:
Keywords: | Merged in:
Authors: bump | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
public/combinat/15361-branching- | faec22739d4590ddc1cc5d72490f5381fbb908fd
rules | Stopgaps:
Dependencies: |
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Comment (by vbraun):
Is there an easy way to apply a `BranchingRule` to a representation (i.e.
a `WeylCharacterRing.element_class`)? This seems like it would be one of
the most common use cases:
{{{
sage: rule = branching_rule("A3", "C2", "symmetric")
sage: rep = WeylCharacterRing("A3")(1,0,0,0)
sage: rule.branch(rep) # does not exist
sage: rep.branch(rule) # does not work
sage: rule(rep) # somewhat unexpected result
[0, 0]
}}}
The only thing I can come up with is the slightly awkward
{{{
sage: rep.branch(WeylCharacterRing(rule.Stype()), rule=rule)
C2(1,0)
}}}
The `BranchingRule.__call__` could check for the parent of the argument
and simply return the branched representation.
--
Ticket URL: <http://trac.sagemath.org/ticket/15361#comment:63>
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