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An extended version of Riedtmann's Lie algebra of the gentle one-cyclealgebra $\Lambda(n-1,1,1)$ is computed and is shown to admit a Cartandecomposition by the positive roots of the root system of type $\mathbf{BC}_n$.

On Riedtmann's Lie algebra of the gentle one-cycle algebra $\Lambda(n-1,1,1)$