#18762: Create coercion between diagram algebras and the symmetric group algebra
-------------------------------------+-------------------------------------
Reporter: ghseeli | Owner:
Type: enhancement | Status: new
Priority: minor | Milestone: sage-6.8
Component: algebra | Resolution:
Keywords: diagram algebra, | Merged in:
partition algebra, days65 | Reviewers:
Authors: George H. | Work issues:
Seelinger | Commit:
Report Upstream: N/A | 69bd5dbdd4cb11875dc5ab79cd3a8735633f3226
Branch: | Stopgaps:
u/ghseeli/create_coercion_between_diagram_algebras_and_the_symmetric_group_algebra|
Dependencies: #18720 |
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Comment (by ghseeli):
Is this a bug in the SymmetricGroupAlgebra?
{{{
sage: SymmetricGroupAlgebra(SR,3,category =
FiniteDimensionalAlgebrasWithBasis(SR))
Traceback
...
TypeError: Cannot create a consistent method resolution
order (MRO) for bases MagmaticAlgebras.subcategory_class,
UnitalAlgebras.WithBasis.subcategory_class,
AdditiveMagmas.Algebras.subcategory_class
}}}
But, in a completely new Sage session:
{{{
sage: SymmetricGroupAlgebra(SR,3)
Symmetric group algebra of order 3 over Symbolic Ring
sage: SymmetricGroupAlgebra(SR,3,category =
FiniteDimensionalAlgebrasWithBasis(SR))
Symmetric group algebra of order 3 over Symbolic Ring
}}}
I have no idea what could be going on here. Is it some clever caching that
somehow makes things work? In any event, this is the cause of the issue, I
think.
(I tried this in sage6.8beta5)
--
Ticket URL: <http://trac.sagemath.org/ticket/18762#comment:6>
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