paper

Decoupling Braided Tensor Factors

arXiv:math/0012199 · doi:10.1134/1.1432909

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.

LaTex file, 12 pages. Talk given at the 23-rd International Conference on Group Theory Methods in Physics, Dubna (Russia), August 2000