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- W1730828079 abstract "Let Λ be a representation-finite C-algebra which has Hall polynomials, with the universal cover Λ˜ which is a locally bounded directed C-algebra. In this paper we prove that the Z-Lie algebra L(Λ) associated with Λ which is defined by Riedtmann in [17] and the Z-Lie algebra K(Λ) associated with Λ which is defined by Ringel in [19] are isomorphic. As an application we show that if Λ is a representation-finite (generalized) cluster-tilted algebra or representation-finite trivial extension algebra, then K(Λ)≅L(Λ)." @default.
- W1730828079 created "2016-06-24" @default.
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- W1730828079 date "2015-12-01" @default.
- W1730828079 modified "2023-09-25" @default.
- W1730828079 title "On Lie algebras associated with representation-finite algebras" @default.
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- W1730828079 doi "https://doi.org/10.1016/j.jalgebra.2015.07.023" @default.
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