Clifford Algebras and Graphs

Details Clifford Algebras and Graphs Clifford Algebras and Graphs

2008-10-18

arxiv.org/abs/0810.3322v1

Mathematics

Combinatorics

19 pages, 12 figures

Scientific paper

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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