Group Actions on Hyperplane Arrangements
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Date
2012
Authors
Moseley, Daniel
Journal Title
Journal ISSN
Volume Title
Publisher
University of Oregon
Abstract
In this dissertation, we will look at two families of algebras with connections to hyperplane arrangements that admit actions of finite groups. One of the fundamental questions to ask is how these decompose into irreducible representations. For the first family of algebras, we will use equivariant cohomology techniques to reduce the computation to an easier one. For the second family, we will use two decompositions over the intersection lattice of the hyperplane arrangement to aid us in computation.