Universal deformations of reductive Lie algebras (Q1202952)

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scientific article; zbMATH DE number 109510
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Universal deformations of reductive Lie algebras
scientific article; zbMATH DE number 109510

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    Universal deformations of reductive Lie algebras (English)
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    20 April 1993
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    This letter presents a brief outline of the approach and the results of the authors which will be proven and discussed further in their paper ``Quantization of reductive Lie algebras: construction and universality'' (to appear in Rev. Math. Phys.). The main result characterizes some Hopf algebra deformations of reductive Lie algebras.
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    multiparameter quantizations
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    universal deformations
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    Poincaré-Birkhoff-Witt theorem
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    torsion freeness
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    Hopf algebra deformations
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    reductive Lie algebras
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