Tensor operator realizations of E6 and structural zeros of the 6j-symbol
- 1 September 1984
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 25 (9) , 2585-2588
- https://doi.org/10.1063/1.526486
Abstract
For the exceptional Lie algebra E6 minimal SO(3) tensor operator realizations are constructed which correspond to the maximal decomposition of E6 in the respective chains E6⊃F4⊃SO(3), E6⊃SU(3)⊗G2⊃SO(3)⊗SO(3), E6⊃F4⊃SO(3)⊗G2⊃SO(3)⊗SO(3), E6⊃Sp(8)⊃SO(3), and E6⊃G2⊃SO(3). Two particular realizations are shown to provide a basis in which certain structural zeros of Racah’s 6j‐symbol can be explained.Keywords
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