#19327: Symmetric group characters as bases of the symmetric functions
-------------------------------------+-------------------------------------
Reporter: zabrocki | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.9
Component: combinatorics | Resolution:
Keywords: sf, sage-combinat | Merged in:
Authors: Mike Zabrocki | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
public/combinat/sf/character_bases-19327|
54a5af3afb61388c7fa97ca8e14bb274a9708029
Dependencies: #15536 | Stopgaps:
-------------------------------------+-------------------------------------
Comment (by tscrim):
No, it appears to be an algebra homomorphism:
{{{
sage: all(ht[la]*ht[mu] == ht(h(ht[la])*h(ht[mu])) for i in range(5) for
la in Partitions(i) for j in range(5) for mu in Partitions(j))
True
sage: all(h[la]*h[mu] == h(ht(h[la])*ht(h[mu])) for i in range(5) for la
in Partitions(i) for j in range(5) for mu in Partitions(j))
True
sage: ht.an_element() * ht.an_element() == ht(h(ht.an_element()) *
h(ht.an_element()))
True
}}}
--
Ticket URL: <http://trac.sagemath.org/ticket/19327#comment:14>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.
