Irreducible Highest Weight Representations Of The Simple n-Lie Algebra
Representation Theory
2015-12-14 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1011.1396,
title = {Irreducible Highest Weight Representations Of The Simple n-Lie Algebra},
author = {Dana Balibanu and Johan van de Leur},
journal= {arXiv preprint arXiv:1011.1396},
year = {2015}
}
Comments
24 pages, 24 figures, mistake in proposition 2.1 corrected