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a colored representation of the Kostka matrix
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.
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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Title screen
                          for Schur function video
Click to access video

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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