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arxiv: 0810.3322 · v1 · pith:JZC2I3F2new · submitted 2008-10-18 · 🧮 math.CO

Clifford Algebras and Graphs

classification 🧮 math.CO
keywords cliffordalgebrasgraphsdescribegraphalgebraassociatebuild
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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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Cited by 3 Pith papers

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