$E_7 \subset Sp(56,R)$ irrep decompositions of interest for physical models

preprint2014arXivOpen access

In this note we show how to obtain the projection matrix for the $E_7 \subset C_{28}$ chain and we tabulate some decompositions of the symplectic algebra $C_{28}$ representations into irreps of the $E_7$ subalgebra that are important for various physical models.

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$E_7 \subset Sp(56,R)$ irrep decompositions of interest for physical models

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E7⊂Sp(56,R)E_7 \subset Sp(56,R)E7​⊂Sp(56,R) irrep decompositions of interest for physical models

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$E_7 \subset Sp(56,R)$ irrep decompositions of interest for physical models