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- W2012302907 abstract "We study the behavior of the Etingof–Kazhdan quantization functors under the natural duality operations of Lie bialgebras and Hopf algebras. In particular, we prove that these functors are “compatible with duality”, i.e., they commute with the operation of duality followed by replacing the coproduct by its opposite. We then show that any quantization functor with this property also commutes with the operation of taking doubles. As an application, we show that the Etingof–Kazhdan quantizations of some affine Lie superalgebras coincide with their Drinfeld–Jimbo-type quantizations." @default.
- W2012302907 created "2016-06-24" @default.
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- W2012302907 date "2009-02-06" @default.
- W2012302907 modified "2023-10-16" @default.
- W2012302907 title "Compatibility of quantization functors of Lie bialgebras with duality and doubling operations" @default.
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- W2012302907 doi "https://doi.org/10.1007/s00029-008-0065-9" @default.
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