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arXiv · 1908.04065

On nilpotent generators of the symplectic Lie algebra

Alisa Chistopolskaya
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Abstract

Let $\mathfrak{sp}_{2n}(\mathbb {K})$ be the symplectic Lie algebra over an algebraically closed field of characteristic zero. We prove that for any nonzero nilpotent element $X \in \mathfrak{sp}_{2n}(\mathbb {K})$ there exists a nilpotent element $Y \in \mathfrak{sp}_{2n}(\mathbb {K})$ such that $X$ and $Y$ generate $\mathfrak{sp}_{2n}(\mathbb {K})$.

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Alisa Chistopolskaya. 2019-08-12. On nilpotent generators of the symplectic Lie algebra. https://arxiv.org/abs/1908.04065

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