#18350: Adams operator
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Reporter: elixyre | Owner:
Type: task | Status: new
Priority: major | Milestone: sage-6.7
Component: categories | Keywords:
Merged in: | Authors: Jean-Baptiste Priez
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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Hello every one,
I offer to append a generic operator on Hopf algebra: the coproduct and
the product iterate k times. (I assume that operation is called the Adams
operation but... it seems to be totally something else in the sage Sym...
so... I'm not sure about the name of this operation)
{{{
sage: h = SymmetricFunctions(QQ).h()
sage: h[5].adams_operator(2)
2*h[3, 2] + 2*h[4, 1] + 2*h[5]
sage: tensor([h,h]).module_morphism(on_basis=lambda c: h(c[0])*h(c[1]),
codomain=h)(h[5].coproduct())
2*h[3, 2] + 2*h[4, 1] + 2*h[5]
}}}
Cheers,
Jean-Baptiste
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Ticket URL: <http://trac.sagemath.org/ticket/18350>
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