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

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arxiv 2204.08141 v2 pith:5VB6U5FI submitted 2022-04-18 math.RT

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

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

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