Does Sage support tensor of two symmetric functions?

asked 2020-12-16 14:00:14 +0200

Xie gravatar image

updated 2020-12-16 14:39:48 +0200

slelievre gravatar image

I want to work in two variables symmetric functions. For example, expand $h_\lambda(X+Y)$ or $h_\lambda(X) e_\mu(Y)$ to $s_\lambda(X) s_\mu(Y)$.

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Have you searched the documentation?

Ideally, provide code to define the objects in your question, to get answerers started.

slelievre gravatar imageslelievre ( 2020-12-16 15:07:30 +0200 )edit

Here is a start

sage: S=SymmetricFunctions(QQ).s()                                              
sage: S([4]).tensor(S([3]))                                                     
s[4] # s[3]
FrédéricC gravatar imageFrédéricC ( 2020-12-20 17:48:02 +0200 )edit

Thank you. I know this method.

Xie gravatar imageXie ( 2020-12-23 14:08:59 +0200 )edit

Could you expand the question a little bit, to say how what you are looking for differs from what is found in the documentation?

slelievre gravatar imageslelievre ( 2020-12-23 15:29:34 +0200 )edit