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Finite-Dimensional Lie Algebras and Their Representations for Unified Model Building

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arxiv 1511.08771 v2 pith:SFP6XXUQ submitted 2015-11-25 hep-ph hep-th

classification hep-phhep-th
keywords algebrasrepresentationsbuildingdimensionsfinite-dimensionalmodelunifiedanomaly
verification ladder T0 review T1 audit T2 compute T3 formal
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We give information about finite-dimensional Lie algebras and their representations for model building in 4 and 5 dimensions; e.g., conjugacy classes, types of representations, Weyl dimensional formulas, Dynkin indices, quadratic Casimir invariants, anomaly coefficients, projection matrices, and branching rules of Lie algebras and their subalgebras up to rank-20. We show what kind of Lie algebras can be applied for grand unified theories in 4 and 5 dimensions.

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Cited by 7 Pith papers

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