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

Lorenzo Fortunato; Willem A. de Graaf

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E₇ subset Sp(56,R) irrep decompositions of interest for physical models

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arxiv 1312.5151 v2 pith:RCR5EPQF submitted 2013-12-18 math.RT hep-thmath-phmath.MP

E₇ subset Sp(56,R) irrep decompositions of interest for physical models

Lorenzo Fortunato , Willem A. de Graaf This is my paper

classification math.RT hep-thmath-phmath.MP

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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.

E₇ subset Sp(56,R) irrep decompositions of interest for physical models

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