#18675: Add 'connected' as a class for graded Hopf algebras with basis.
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Reporter: kdilks | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.8
Component: algebra | Resolution:
Keywords: days65 | Merged in:
Authors: Jean-Baptiste | Reviewers: zabrocki
Priez | Work issues:
Report Upstream: N/A | Commit:
Branch: | 174d2288c77874c17750339dfef5400a8dccce8c
public/ticket/18675 | Stopgaps:
Dependencies: |
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Comment (by jhpalmieri):
To put it another way, one of the motivating examples (the motivating
example, really) of a graded Hopf algebra is the cohomology of a Lie
group. The cohomology of S^1^ looks like H=k[t]/(t^2^) as an algebra, and
the only way for this to become a Hopf algebra is with the sign axiom:
otherwise, although t^2^=0, the coproduct on t^2^ is not zero in H \otimes
H.
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Ticket URL: <http://trac.sagemath.org/ticket/18675#comment:11>
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