Decoupling of Tensor factors in Cross Product and Braided Tensor Product Algebras
نویسنده
چکیده
We briefly review and illustrate our procedure to ‘decouple’ by transformation of generators: either a Hopf algebra H from a Hmodule algebra A1 in their cross-product A1>⊳H; or two (or more) H-module algebras A1,A2. These transformations are based on the existence of an algebra map A1>⊳H → A1. Preprint 02-64 Dip. Matematica e Applicazioni, Università di Napoli DSF/29-2002 ∗Contribution to the Proceedings of the “International Colloquium on Group Theoretical Methods in Physics” (Group24), Paris, July 2002.
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0 Decoupling Braided Tensor Factors ∗
We briefly report on our result [9] that the braided tensor product algebra of two module algebras A1,A2 of a quasitriangular Hopf algebra H is equal to the ordinary tensor product algebra of A1 with a subalgebra isomorphic to A2 and commuting with A1, provided there exists a realization of H within A1. As applications of the theorem we consider the braided tensor product algebras of two or mor...
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