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A subdirect-union representation for completely distributive complete lattices

A subdirect-union representation for completely distributive complete lattices

Proof of Theorem 2. Harish-Chandra[l] and others have proved that every Lie algebra over a field of characteristic zero has a faithful representation.Consequently by Lemma 4, 8 has a faithful representationx-*Qx whose matrices have elements in an algebraic extension $ of g such that t(QxQv) =0 for all x of …