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

Abstract

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.

11232 pages, 1500 tables, no figures; typos, data, etc. corrected; data, section, references, etc. added

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