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Plethysym as composition of functions

asked 2013-05-29 11:03:57 -0500

JoshIzzard gravatar image

On this page the plethysym function is described as "composition of functions". Is this implying that writing s[2](s[lambda]) for some other partition $\lambda$ is like taking the symmetric square of the schur function corresponding to $\lambda$?

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answered 2013-05-30 02:18:37 -0500

niles gravatar image

I don't know the answer to this question, but you may be able to determine it yourself by looking at the source code for plethysm. You can do this with .plethysm??, as in

sage: Sym = SymmetricFunctions(QQ)
sage: s = Sym.schur()
sage: s2 = s[2]
sage: s2.plethysm??

Also (I apologize if you've already checked this) the Wikipedia page on plethysm is very short, but includes a cryptic comment which may help you decide if your guess is correct or not. Good luck!

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Asked: 2013-05-29 11:03:57 -0500

Seen: 98 times

Last updated: May 30 '13