#15536: Implement symplectic and orthogonal bases of Sym
-------------------------------------+-------------------------------------
Reporter: tscrim | Owner: sage-combinat
Type: enhancement | Status: needs_info
Priority: major | Milestone: sage-6.10
Component: combinatorics | Resolution:
Keywords: days54, sym | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/tscrim/sp_orth_broken | cac1d88d687705fa90de0edac1b472f6e2d623b4
Dependencies: #17096 | Stopgaps:
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Comment (by tscrim):
I wonder if the problem stems from this line in `__classcall_private__` of
`Modules`:
{{{
if base_ring in _Fields or (isinstance(base_ring, Category)
and base_ring.is_subcategory(_Fields)):
}}}
or this line in `extra_super_categories` of `FilteredAlgebras`:
{{{
if base_ring in Fields:
}}}
and that one/both of these triggers the category refinement and breaks the
MRO, which was in the process of being constructed when these were called.
{{{
sage: R = Integers(7)
sage: R.category()
Join of Category of finite commutative rings and Category of subquotients
of monoids and Category of quotients of semigroups and Category of finite
enumerated sets
sage: HopfAlgebras(R)
Category of hopf algebras over Ring of integers modulo 7
sage: R.category()
Join of Category of finite fields and Category of subquotients of monoids
and Category of quotients of semigroups
}}}
Yet this still doesn't explain why this works for NCSF. I think that might
be a key in figuring out what is going wrong.
--
Ticket URL: <http://trac.sagemath.org/ticket/15536#comment:43>
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