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arXiv · 2209.13309

Elements of a Lie algebra acting nilpotently in all its representations

O. G. Styrt
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Abstract

An equivalent condition for an element of a Lie algebra acting nilpotently in all its representations is obtained. Namely, it should belong to the derived algebra and go via factoring over the radical to a nilpotent element of the corresponding (semisimple) quotient algebra.

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O. G. Styrt. 2022-09-27. Elements of a Lie algebra acting nilpotently in all its representations. https://arxiv.org/abs/2209.13309

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