Lie algebra and invariant tensor technology for g2

Details Lie algebra and invariant tensor technology for g2 Lie algebra and invariant tensor technology for g2

2001-03-16

arxiv.org/abs/math-ph/0103021v1

Physics

Mathematical Physics

29 pages, LaTeX

Scientific paper

10.1142/S0217751X01004335

Proceeding in analogy with su(n) work on lambda matrices and f- and d-tensors, this paper develops the technology of the Lie algebra g2, its seven dimensional defining representation gamma 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 gamma, and a good body of results involving the quadratic, sextic and (the non-primitivity of) other Casimir operators of g2.

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