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How do I define a homomorphism of a graded commutative algebra?

asked 2018-04-28 19:14:46 +0100

ronno gravatar image

updated 2023-01-09 23:59:46 +0100

tmonteil gravatar image

Why does the following throw a TypeError: images do not define a valid homomorphism?

E = GradedCommutativeAlgebra(QQ,'x,y',degrees=(1,1))
E.inject_variables()
f = E.hom([x,y])

I expected it to define $f$ to be the identity homomorphism of $E$. What is the right way to define a homomorphism of $E$? I'm more interested in the one that switches $x$ and $y$ than the identity homomorphism, but this seemed a more obvious version of the question.

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I am working on implementing morphisms of graded commutative algebras. No promises about when it might be done, but what are you interested in doing with the morphisms? What features would you like to have?

John Palmieri gravatar imageJohn Palmieri ( 2018-08-27 20:51:55 +0100 )edit

@JohnPalmieri Extremely late response but I want to be able to compute the trace of an endomorphism of a cdga on the cohomology, (multi)degree by (multi)degree, assuming degreewise finite dimensionality.

ronno gravatar imageronno ( 2023-09-25 10:28:05 +0100 )edit

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answered 2018-05-01 19:21:26 +0100

updated 2018-05-03 00:35:23 +0100

slelievre gravatar image

This looks like a bug, and I'm not sure of a workaround yet. I created a ticket for it here.

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Asked: 2018-04-28 19:14:46 +0100

Seen: 443 times

Last updated: May 03 '18