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Irreducible Highest Weight Representations Of The Simple n-Lie Algebra
A. Dzhumadil'daev classified all irreducible finite dimensional
representations of the simple n-Lie algebra. Using a slightly different
approach, we obtain in this paper a complete classification of all irreducible,
highest weight modules, including the infinite-dimensional ones. As a corollary
we find all primitive ideals of the universal enveloping algebra of this simple
n-Lie algebra.Comment: 24 pages, 24 figures, mistake in proposition 2.1 correcte