Decoupling of Tensor factors in Cross Product and Braided Tensor Product Algebras

Mathematics – Quantum Algebra

Scientific paper

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Latex file,7 pages.Contribution to the Proceedings of the ``International Colloquium on Group Theoretical Methods in Physics''

Scientific paper

We briefly review and illustrate our procedure to `decouple' by
transformation of generators: either a Hopf algebra $H$ from a $H$-module
algebra $A_1$ in their cross-product $A_1 >\triangleleft H$; or two (or more)
$H$-module algebras $A_1,A_2$. These transformations are based on the existence
of an algebra map $A_1 >\triangleleft H\to A_1$.

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