Affiliation:
1. Centre for Mathematical Sciences, Department of Applied Mathematics and Theoretical Physics, Wilberforce Road, Cambridge CB3 0WA, UK
Abstract
Proceeding in analogy with su (n) work on λ matrices and f- and d-tensors, this paper develops the technology of the Lie algebra g2, its seven-dimensional defining representation γ and the full set of invariant tensors that arise in relation thereto. A comprehensive listing of identities involving these tensors is given. This includes identities that depend on use of characteristic equations, especially for γ, and a good body of results involving the quadratic, sextic and (the nonprimitivity of) other Casimir operators of g2.
Publisher
World Scientific Pub Co Pte Lt
Subject
Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics
Cited by
9 articles.
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