Decoupling Braided Tensor Factors
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.
 Publication:

Physics of Atomic Nuclei
 Pub Date:
 December 2001
 DOI:
 10.1134/1.1432909
 arXiv:
 arXiv:math/0012199
 Bibcode:
 2001PAN....64.2116F
 Keywords:

 Mathematics  Quantum Algebra;
 High Energy Physics  Theory;
 81R50;
 17B37
 EPrint:
 LaTex file, 12 pages. Talk given at the 23rd International Conference on Group Theory Methods in Physics, Dubna (Russia), August 2000