We find a new representation of the simple Lie algebra of type E-7 on the polynomial algebra in 27 variables. Using this representation and Shen's idea of mixed product, we construct a new functor from E-6-Mod to E-7-Mod. A condition for the functor to map a finite-dimensional irreducible E-6-module to an infinite-dimensional irreducible E-7-module is obtained. Our general framework also gives a direct polynomial extension from irreducible E-6-modules to irreducible E-7-modules, which can be used to derive Gel'fand-Zetlin bases for E-7 from those for E-6 that can be obtained from those for D-5 according to our earlier work.
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