2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50740Weyl groups are ubiquitous, and efficient algorithms for them -- especially for the exceptional algebras -- are clearly desirable. In this paper we provide several of these, addressing practical concerns arising naturally for instance in computational aspects of the study of affine algebras or Wess-Zumino-Witten conformal field theories. We also discuss the efficiency and numerical accuracy of these algorithms.20 pagesHigh Energy Physics - Theorytext