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A family of simple weight modules over the Virasoro algebra - MaRDI portal

A family of simple weight modules over the Virasoro algebra (Q2400345)

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A family of simple weight modules over the Virasoro algebra
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    A family of simple weight modules over the Virasoro algebra (English)
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    28 August 2017
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    In this paper the authors use simple modules over the Lie algebra of derivations of the polynomial algebra \(\mathbb{C}[t]\) to construct a new family of simple weight modules over the Witt and Virasoro algebras. All non-zero weight spaces in modules of this family are infinite dimensional. The authors provide an isomorphism criteria for these modules and compare them to known simple Virasoro modules.
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    simple module
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    weight module
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    Weyl algebra
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    Witt algebra
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    Virasoro algebra
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