\texttt{CleGo}: A package for automated computation of Clebsch-Gordan coefficients in tensor product representations for Lie algebras \(A\)-\(G\)

DOI10.1016/j.cpc.2011.03.025zbMath1262.81066arXiv1011.4008OpenAlexW2106673845MaRDI QIDQ1943128

Christoph Horst, Jürgen Reuter

Publication date: 15 March 2013

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

Full work available at URL: https://arxiv.org/abs/1011.4008

zbMATH Keywords

Lie algebramodel buildingsymmetry breakingtensor productClebsch-Gordan coefficientsGUTtensor product decompositionmultiple tensor product

Mathematics Subject Classification ID

Unified quantum theories (81V22) Gravitational interaction in quantum theory (81V17) Symmetry breaking in quantum theory (81R40) Software, source code, etc. for problems pertaining to quantum theory (81-04) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of group representations to physics and other areas of science (20C35)

Related Items (4)

SOSpin, a C++ library for Yukawa decomposition in \(\mathsf{SO}(2 N)\) models ⋮ E6Tensors: a Mathematica package for \(E_6\) tensors ⋮ CleGo ⋮ Classification, selection rules, and symmetry properties of the Clebsch- Gordan coefficients of symmetric group

Cites Work

• Gaussian elimination: a case study in efficient genericity with MetaOCaml
• E 6 unification model building. I. Clebsch–Gordan coefficients of 27⊗27¯
• Clebsch–Gordan coefficients for E6 and SO(10) unification models
• Semisimple subalgebras of semisimple Lie algebras
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