Abstract
The case of skew duality, for one of the groups being small, have been described in [11] by using some of the classical lore about fundamental representations, the Hodge decomposition [12], etc. Here, I would like to describe the decomposition of exterior algebra ∧(V)⊗3by using the skew (On, Spin6)-duality. The skew (On), Spin4)-duality was studied in details by Howe in his paper on invariant theory [ll]. This thesis extends his result in this direction.
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