The Irreducible Tensor Bases of Exceptional Lie Algebras 1. G2, F_4 and E

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56896The irreducible tensor bases of exceptional Lie algebras G2, F4 and E6 are built by grouping their Cartan-Weyl bases according to the respective chains G2> SO(3) * SO(3), F4 > SO(3)*SO(3)*SO(3)*SO(3) and E6> SO(3)*SO(3)*SO(3)*SO(3). The explicit commutation relations of the irreducible tensor bases of these algebras are given also respectively.19 Pages, LaTexMathematical PhysicsGroup Theory17B25;17B10The Irreducible Tensor Bases of Exceptional Lie Algebras 1. G2, F_4 and E_6text