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arxiv: 1312.5151 · v2 · pith:RCR5EPQFnew · submitted 2013-12-18 · 🧮 math.RT · hep-th· math-ph· math.MP

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

classification 🧮 math.RT hep-thmath-phmath.MP
keywords decompositionsmodelsphysicalsubsetalgebrachainimportantinterest
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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.

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