This chapter is an introduction to the theory of hyperplane arrangements, which appear in our treatment as the hyperplanes associated to the list of linear equations given by a list X of vectors. We discuss several associated notions, including matroids, Tutte polynomials, and zonotopes. Finally, we expand the example of root systems and compute in this case all the Tutte polynomials.
KeywordsRoot System Positive Root External Activity Rank Function Oriented Graph
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