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On the representations of the Witt algebra - MaRDI portal

On the representations of the Witt algebra (Q5955850)

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scientific article; zbMATH DE number 1706968
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On the representations of the Witt algebra
scientific article; zbMATH DE number 1706968

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    On the representations of the Witt algebra (English)
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    18 February 2002
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    The simple modules of the Witt algebra \(W(1)\) were classified by \textit{H. J. Chang} [Abh. Math. Semin. Univ. Hamb. 14, 151-184 (1941; Zbl 0025.24202)]. In the article under review the authors achieve the same result with a simpler proof, in which they establish a lemma to reduce the central characters into their simplest forms by means of automorphisms of \(W(1)\) and get a simple criterion for the simplicity of induced modules.
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    simple modules
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    Witt algebra \(W(1)\)
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    simplicity of induced modules
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