GroupMath: A Mathematica package for group theory calculations

GroupMath is a Mathematica package which performs several calculations related to semi-simple 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 basis-independent quantities (such as roots, weights, decomposition of products of representations, branching rules) as well as basis-dependent ones (including explicit representation matrices and Clebsch-Gordon coefficients). (C) 2021 Elsevier B.V. All rights reserved.

Automated summary

GroupMath is a Mathematica package that performs calculations related to semi-simple Lie algebras and permutation groups, important in various physics areas. It computes basis-independent quantities (such as roots, weights, decomposition of representations, branching rules) and basis-dependent ones (including representation matrices, Clebsch-Gordon coefficients), tailored for theoretical particle physicists’ specific needs.