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arXiv · 1510.05072

The matrix Lie algebra on a one-step ladder is zero product determined

Daniel Brice
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Abstract

The class of matrix algebras on a ladder $\mathcal{L}$ generalizes the class of block upper triangular matrix algebras. It was previously shown that the matrix algebra on a ladder $\mathcal{L}$ is zero product determined under matrix multiplication. In this article, we show that the matrix algebra on a one-step ladder is zero product determined under the Lie bracket.

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Daniel Brice. 2015-10-17. The matrix Lie algebra on a one-step ladder is zero product determined. https://arxiv.org/abs/1510.05072

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