Abstract: Two quantum group covariant algebras $A_1, A_2$ can be embedded in a larger one through the socalled braided tensor product, whereby they do not commute with each other. We briefly report on our transformations of generators \cite{FioSteWes00} which allow to express this braided tensor product algebra as an ordinary tensor product algebra of $A_1$ with a subalgebra {\it isomorphic} to $A_2$ and commuting with $A_1$. The construction of the transformations is based on the existence of a realization of $H$ within $A_1$. We apply the results to the braided tensor product algebras of two or more quantum group covariant quantum spaces or deformed Heisenberg algebras.
Unbraiding tranformations for braided tensor factors / Fiore, Gaetano; H., Steinhacker; J., Wess. - In: MODERN PHYSICS LETTERS A. - ISSN 0217-7323. - STAMPA. - 16:(2001), pp. 261-267.
Unbraiding tranformations for braided tensor factors
FIORE, GAETANO;
2001
Abstract
Abstract: Two quantum group covariant algebras $A_1, A_2$ can be embedded in a larger one through the socalled braided tensor product, whereby they do not commute with each other. We briefly report on our transformations of generators \cite{FioSteWes00} which allow to express this braided tensor product algebra as an ordinary tensor product algebra of $A_1$ with a subalgebra {\it isomorphic} to $A_2$ and commuting with $A_1$. The construction of the transformations is based on the existence of a realization of $H$ within $A_1$. We apply the results to 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.
