Maple for Math 253

The SF package is very useful for manipulating symmetric functions. It uses bases "h", "m", "e", "s", and "p" just like appendix A of Fulton and Harris (except it uses lower case). The key functions are "tos", "tom", etc which reduce a symmetric polynomial to the desired form. You need to download SF2.4v.txt first. Then use "read" within maple to load this file. Loading this file within Windows can be awkward since the name of the file may be changed and you need to double-up backslashes in the filename. Once you've done that see this example for how to load. Note how dual_basis is used to make the m basis.

There is also the coxeter/weyl package. Download coxeter2.4v.txt and load in the same way as SF above. Here's the example I did in class.

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