The Irreducible Tensor Bases of Exceptional Lie Algebras 1. G2, F_4 and E_6

Ruan, Dong; Sun, Hongzhou; Han, QiZhi

The Irreducible Tensor Bases of Exceptional Lie Algebras 1. G2, F_4 and E_6

Authors

Ruan, Dong

Sun, Hongzhou

Han, QiZhi

Description

The 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, LaTex