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.
Decoupling Braided Tensor Factors / Fiore, Gaetano; H., Steinhacker; J., Wess. - STAMPA. - 64:(2001), pp. 2116-2120. (Intervento presentato al convegno 23-rd International Conference on Group Theory Methods in Physics, Symposium on Quantum Groups tenutosi a Dubna (Russia) nel agosto 2000).
Decoupling Braided Tensor Factors
FIORE, GAETANO;
2001
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
