Is there any graded Hopf algebra functionality?

asked 2020-07-02 09:25:26 +0100

davidac897 gravatar image

In the SAGE Reference Manual, there's a brief section on graded Hopf algebras: https://doc.sagemath.org/html/en/refe...

Can one actually define graded Hopf algebras and do computations in them? If not, what is this doing there?

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You mean something like this

sage: algebras.GrossmanLarson(QQ)
Grossman-Larson Hopf algebra on one generator ['o'] over Rational Field
sage: algebras.GrossmanLarson(QQ).category()
Category of graded hopf algebras with basis over Rational Field
FrédéricC gravatar imageFrédéricC ( 2020-07-02 12:58:12 +0100 )edit

There is a bit more here: https://doc.sagemath.org/html/en/refe... and here: https://doc.sagemath.org/html/en/refe...

John Palmieri gravatar imageJohn Palmieri ( 2020-07-02 18:24:12 +0100 )edit

In particular, yes, there are already some defined in Sage, and you can implement more using the category framework.

John Palmieri gravatar imageJohn Palmieri ( 2020-07-02 18:24:55 +0100 )edit
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