A Clifford Algebraic Framework for Coxeter Group Theoretic Computations

@article{Dechant2014ACA,
  title={A Clifford Algebraic Framework for Coxeter Group Theoretic Computations},
  author={Pierre-Philippe Dechant},
  journal={Advances in Applied Clifford Algebras},
  year={2014},
  volume={24},
  pages={89-108}
}
Real physical systems with reflective and rotational symmetries such as viruses, fullerenes and quasicrystals have recently been modeled successfully in terms of three-dimensional (affine) Coxeter groups. Motivated by this progress, we explore here the benefits of performing the relevant computations in a Geometric Algebra framework, which is particularly suited to describing reflections. Starting from the Coxeter generators of the reflections, we describe how the relevant chiral (rotational… 
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