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Irreducible Highest Weight Representations Of The Simple n-Lie Algebra
Irreducible Highest Weight Representations The Simple n-Lie Algebra
2010/11/11
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 ...
On the algebraic set of singular elements in a complex simple Lie algebra
algebraic singular elements
2010/11/19
Let $G$ be a complex simple Lie group and let $\g = \hbox{\rm Lie}\,G$. Let $S(\g)$ be the $G$-module of polynomial functions on $\g$ and let $\hbox{\rm Sing}\,\g$ be the closed algebraic cone of sin...