GroupMath: A Mathematica package for group theory calculations
Abstract
GroupMath is a Mathematica package which performs several calculations related to semisimple Lie algebras and the permutation groups, both of which are important in various areas of physics. Having in mind the specific needs of theoretical particle physicists, the program computes several basisindependent quantities (such as roots, weights, decomposition of products of representations, branching rules) as well as basisdependent ones (including explicit representation matrices and ClebschGordon coefficients).
 Publication:

Computer Physics Communications
 Pub Date:
 October 2021
 DOI:
 10.1016/j.cpc.2021.108085
 arXiv:
 arXiv:2011.01764
 Bibcode:
 2021CoPhC.26708085F
 Keywords:

 Lie algebras;
 Lie groups;
 Permutation groups;
 Group theory;
 High energy physics;
 Model building;
 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 Describes version 1.1 of the program. Code available on http://renatofonseca.net/groupmath