A parameter space of k-dimensional planes in the n-dimensional complex space is a grassmannian. What does that mean? What are its ramifications for my research in quantum gravity? Find out as I explore this fascinating mathematical structure.

This requires either Mathematica 8 or later, or the free Mathematica CDF Viewer, though the viewer cannot run the programs, (you can find that here). You will also need to download the MAST Writing Style into the folder SystemFiles/Front End/Stylesheets. You can download that here. Once you load this file into the folder rename it MAST Writing Style 3. Reload Mathematica and it will be there.

Chapter One: Introduction to Grassmannians. Here I define them and provide some background materials. (pdf version)

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