Irreducible Highest Weight Representations Of The Simple n-Lie Algebra

Details Irreducible Highest Weight Representations Of The Simple n-Lie Algebra Irreducible Highest Weight Representations Of The Simple n-Lie Algebra

2010-11-05

arxiv.org/abs/1011.1396v1

Mathematics

Representation Theory

24 pages, 24 figures

Scientific paper

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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