2012/06/27 by Robert Feger, Feger, Robert, Thomas W. Kephart +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Computational Physics and Python Applications #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Parallel Computing and Optimization Techniques #Scientific Research and Discoveries #hep-ph #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1206.6379
150 pages, 2 figures, 93 tables
openalex publication_date 2012/06/27 · arxiv created 2014/08/06 · arxiv updated 2014/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present the Mathematica application LieART (Lie Algebras and Representation Theory) for computations frequently encountered in Lie Algebras and representation theory, such as tensor product decomposition and subalgebra branching of irreducible representations. LieART can handle all classical and exceptional Lie algebras. It computes root systems of Lie algebras, weight systems and several other properties of irreducible representations. LieART's user interface has been created with a strong focus on usability and thus allows the input of irreducible representations via their dimensional name, while the output is in the textbook style used in most particle-physics publications. The unique Dynkin labels of irreducible representations are used internally and can also be used for input and output. LieART exploits the Weyl reflection group for most of the calculations, resulting in fast computations and a low memory consumption. Extensive tables of properties, tensor products and branching rules of irreducible representations are included in the appendix.