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Demonstrates the isomorphism of Lie algebras in the context of gentle one-cycle algebras.
It is shown that the gentle one-cycle algebra [Formula: see text] has Hall polynomials. The Hall polynomials are explicitly given for all triples of indecomposable modules, and as a consequence, the Ringel–Hall Lie algebra of [Formula: see text] is shown to be isomorphic to its Riedtmann Lie algebra.
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Chen et al. (2026) studied this question.
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