# CleGo: A package for automated computation of Clebsch–Gordan coefficients in tensor product representations for Lie algebras A – G

## Description

Abstract We present a program that allows for the computation of tensor products of irreducible representations of Lie algebras A-G based on the explicit construction of weight states. This straightforward approach (which is slower and more memory-consumptive than the standard methods to just calculate dimensions of the tensor product decomposition) produces Clebsch-Gordan coefficients that are of interest for instance in discussing symmetry breaking in model building for grand unified theories. For t... Title of program: CleGo Catalogue Id: AEIQ_v1_0 Nature of problem Clebsch-Gordan coefficients are widely used in physics. This program has been written as a means to analyze symmetry breaking in the context of grand unified theories in particle physics. As an example, we computed the singlets appearing in higher-dimensional operators 27⊗27⊗27⊗78 and 27⊗27⊗27⊗650 in an E 6 -symmetric GUT. Versions of this program held in the CPC repository in Mendeley Data AEIQ_v1_0; CleGo; 10.1016/j.cpc.2011.03.025 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)