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Irreducible Representations of the Simple Lie Groups II - the Tensor Basis for the Infinitesimal Generators of the Exceptional Groups

机译：简单李群的不可约表示II - 特殊群的无穷小生成子的张量基

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We have already analysed the commutation relations of the infinitesimal generators of all simple classical Lie groups and established a new basis for these generators, called the tensor basis. In tensor basis, the infinitesimal generators can be written as some scalar operators, some sets of angular momentum operators and some sets of irreducible tensor operators. Now we give the tensor basis for the exceptional simple Lie groups. By means of the method that has been used in the earlier papers, ''On the irreducible representations of the compact simple Lie groups of rank 2, I, II, III'' and the tensor basis, the irreducible representations of the exceptional Lie groups can be calculated more easily than usual. (Atomindex citation 14:721206)

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