E6Tensors: a Mathematica package for \(E_6\) tensors

DOI10.1016/J.CPC.2016.09.010zbMath1376.68176arXiv1605.05920OpenAlexW2407941435MaRDI QIDQ1685765

Thomas Deppisch

Publication date: 19 December 2017

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

Full work available at URL: https://arxiv.org/abs/1605.05920

zbMATH Keywords

invariantmatrix generatorsgauge groupCasimir operatorstructure constants\(E_6\)

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Applications of Lie groups to the sciences; explicit representations (22E70) Software, source code, etc. for problems pertaining to topological groups (22-04)

Related Items (3)

Flops of any \textit{length}, Gopakumar-Vafa invariants and 5d Higgs branches ⋮ 5d Higgs branches from M-theory on quasi-homogeneous cDV threefold singularities ⋮ Accelerated discovery of machine-learned symmetries: deriving the exceptional Lie groups \(G_2\), \(F_4\) and \(E_6\)

Uses Software

• Mathematica
• CleGo
• E6Tensors

Cites Work

• Tensor methods for the exceptional group \(E^ 6\)
• LieART -- a Mathematica application for Lie algebras and representation theory
• \texttt{CleGo}: A package for automated computation of Clebsch-Gordan coefficients in tensor product representations for Lie algebras \(A\)-\(G\)

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