Decoupling Braided Tensor Factors

Details Decoupling Braided Tensor Factors Decoupling Braided Tensor Factors

2000-12-20

arxiv.org/abs/math/0012199v1

Phys.Atom.Nucl. 64 (2001) 2116-2120; Yad.Fiz. 64 (2001) 2206-2210

Mathematics

Quantum Algebra

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

Scientific paper

10.1134/1.1432909

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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