Differential operator Lie algebras on the ring of Laurent polynomials (Q1345177)

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scientific article; zbMATH DE number 727700
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Differential operator Lie algebras on the ring of Laurent polynomials
scientific article; zbMATH DE number 727700

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    Differential operator Lie algebras on the ring of Laurent polynomials (English)
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    2 March 1995
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    The author introduces and discusses in detail a class of Lie algebras of differential operators on the unit circle. This class generalizes naturally the Witt and Virasoro algebras and includes the higher-spin algebras \(W_{1 + \infty}\) and \(W_\infty\) which occur in the physics literature.
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    Laurent polynomials
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    spin algebras
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    Lie algebras of differential operators
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