Twisted quantum doubles

Daijiro Fukuda and Ken'ichi Kuga

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-10

Abstract:

Using diagrammatic pictures of tensor contractions, we consider a Hopf algebra ( A op ⊗ ℛ λ A * ) * twisted by an element ℛ λ ∈ A * ⊗ A op corresponding to a Hopf algebra morphism λ : A → A . We show that this Hopf algebra is quasitriangular with the universal R -matrix coming from ℛ λ when λ 2 = id A , generalizing the quantum double construction which corresponds to the case λ = id A .

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:271851

DOI: 10.1155/S016117120430236X

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