On the Nature of Root Systems: The classification of all rank 1 and 2 root systems and how they arise from Lie algebras. Izik Pfirrmann, Oklahoma State University Host: Melissa Emory
Abstract: Root systems arise from semisimple Lie algebras, from the structure of their subalgebras. Root systems can also be constructed axiomatically, studied as objects in and of themselves. We will discuss their construction, properties, and classify all root systems of rank 1 and 2. Then we will elaborate on their relationship with semisimple Lie algebras, specifically complex semisimple Lie algebras
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