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Symmetric
Functions
Using Sage
This is a video textbook introducing the topic of
symmetric functions using the computer algebra package
SAGE. This tutorial is to accompany the
Symmetric Function Video Podcast
that covers the mathematical concepts that appear in this
SAGE tutorial.
To understand this tutorial you will want to familiarize
yourself with some basics of SAGE (how to use tab completion,
how to access help, loops, variables and functions). We will
try to cover this background briefly.
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Tutorial
1: Sage basics
There are at least a few basics that you will need to
know to get started working with SAGE.
You can either run it on your own computer or access it on a
server running over the internet. Here we provide a few
tutorials and pictures that will help you get started.
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How to access SAGE over the internet
How to run a worksheet downloaded from the internet
How to use tab completion to find a function
How to get help on a function
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Click to access video
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Video
2: Introduction to the SymmetricFunction
programs in SAGE.
In this video we open a notebook and define Sym
= SymmetricFunctions(QQ). We give examples
of how to use the Schur, complete and elementary
basis and demonstrate the multiplication
operation.
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