Irreducible highest weight representations of the simple n-Lie algebra
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Publication date
2012
Authors
Balibanu, D.M.
van de Leur, J.
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Abstract
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
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Balibanu, D M & van de Leur, J W 2012, 'Irreducible highest weight representations of the simple n-Lie algebra', Transformation Groups, vol. 17, no. 3, pp. 593-613. https://doi.org/10.1007/s00031-012-9189-2