Irreducible Highest Weight Representations Of The Simple n-Lie Algebra
arXiv:1011.1396 · doi:10.1007/s00031-012-9189-2
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.
24 pages, 24 figures, mistake in proposition 2.1 corrected