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.
Physics of Atomic Nuclei
- Pub Date:
- December 2001
- Mathematics - Quantum Algebra;
- High Energy Physics - Theory;
- LaTex file, 12 pages. Talk given at the 23-rd International Conference on Group Theory Methods in Physics, Dubna (Russia), August 2000