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Decoupling Braided Tensor Factors

Gaetano Fiore·Harold Steinacker·Julius Wess
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Abstract

We briefly report on our result that the braided tensor product algebra of two module algebras $A_1,A_2$ of a quasitriangular Hopf algebra $H$ is equal to the ordinary tensor product algebra of $H_1$ with a subalgebra isomorphic to $A_2$ and commuting with $A_1$, provided there exists a realization of $H$ within $A_1$. As applications of the theorem we consider the braided tensor product algebras of two or more quantum group covariant quantum spaces or deformed Heisenberg algebras.

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Gaetano Fiore, Harold Steinacker, Julius Wess. 2000-12-20. Decoupling Braided Tensor Factors. https://doi.org/10.1134/1.1432909

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