Clifford Algebras and Graphs

Published 18 Oct 2008 in math.CO | (0810.3322v1)

Abstract: I show how to associate a Clifford algebra to a graph. I describe the structure of these Clifford graph algebras and provide many examples and pictures. I describe which graphs correspond to isomorphic Clifford algebras and also discuss other related sets of graphs. This construction can be used to build models of representations of simply-laced compact Lie groups.

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Tanya Khovanova

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