例外李代数的不可约张量基1. G2、F_4和E_6
The Irreducible Tensor Bases of Exceptional Lie Algebras 1. G2, F_4 and E_6
摘要:
例外李代数G2、F4和E6的不可约张量基是通过将它们的Cartan-Weyl基按各自的链G2> SO(3)* SO(3),F4 > SO(3)* SO(3)* SO(3)和E6> SO(3)* SO(3)* SO(3)分组而建立的.并分别给出了这些代数的不可约张量基的显式交换关系。
英文摘要:
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.
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