English

Clifford Algebras and Graphs

Combinatorics 2013-06-25 v1

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.

Keywords

Cite

@article{arxiv.0810.3322,
  title  = {Clifford Algebras and Graphs},
  author = {Tanya Khovanova},
  journal= {arXiv preprint arXiv:0810.3322},
  year   = {2013}
}

Comments

19 pages, 12 figures

R2 v1 2026-06-21T11:32:23.107Z