GroupMath: a Mathematica package for group theory calculations

DOI10.1016/j.cpc.2021.108085zbMath1523.81091arXiv2011.01764MaRDI QIDQ6098588

Renato M. Fonseca

Publication date: 14 June 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.01764

zbMATH Keywords

Lie groupsmodel buildingpermutation groupsLie algebrasgroup theoryhigh energy physics

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Representation theory for linear algebraic groups (20G05) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Strong interaction, including quantum chromodynamics (81V05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Computational methods for problems pertaining to quantum theory (81-08) General theory for infinite permutation groups (20B07) Mathematical modeling or simulation for problems pertaining to quantum theory (81-10)

Related Items (5)

Grand unification and the Planck scale: an SO(10) example of radiative symmetry breaking ⋮ Higher Flavor Symmetries in the Standard Model ⋮ \texttt{DRalgo}: a package for effective field theory approach for thermal phase transitions ⋮ Two-loop hard thermal loops for vector bosons in general models ⋮ Model building by coset space dimensional reduction scheme using eight-dimensional coset spaces

Cites Work

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• SARAH 4: a tool for (not only SUSY) model builders
• \texttt{Affine.m} -- \texttt{Mathematica} package for computations in representation theory of finite-dimensional and affine Lie algebras
• PyR{\@}TE
• On the chirality of the SM and the fermion content of GUTs
• LieART -- a Mathematica application for Lie algebras and representation theory
• The maximal subgroups of the classical groups
• Computing tensor product decompositions
• Weyl group orbits
• Group characters and algebra
• Real forms of embeddings of maximal reductive subalgebras of the complex simple Lie algebras of rank up to 8
• LieART 2.0 -- a Mathematica application for Lie algebras and representation theory
• PyR@TE 3

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