منابع مشابه
Unbraiding the braided tensor product
We show that the braided tensor product algebra A1⊗A2 of two module algebras A1,A2 of a quasitriangular Hopf algebraH is equal to the ordinary tensor product algebra of A1 with a subalgebra of A1⊗A2 isomorphic to A2, provided there exists a realization of H within A1. In other words, under this assumption we construct a transformation of generators which ‘decouples’ A1,A2 (i.e. makes them commu...
متن کاملDecoupling of Tensor factors in Cross Product and Braided Tensor Product Algebras
We briefly review and illustrate our procedure to ‘decouple’ by transformation of generators: either a Hopf algebra H from a Hmodule algebra A1 in their cross-product A1>⊳H; or two (or more) H-module algebras A1,A2. These transformations are based on the existence of an algebra map A1>⊳H → A1. Preprint 02-64 Dip. Matematica e Applicazioni, Università di Napoli DSF/29-2002 ∗Contribution to the P...
متن کامل0 Decoupling Braided Tensor Factors ∗
We briefly report on our result [9] that the braided tensor product algebra of two module algebras A1,A2 of a quasitriangular Hopf algebra H is equal to the ordinary tensor product algebra of A1 with a subalgebra isomorphic to A2 and commuting with A1, provided there exists a realization of H within A1. As applications of the theorem we consider the braided tensor product algebras of two or mor...
متن کاملA Note on Tensor Product of Graphs
Let $G$ and $H$ be graphs. The tensor product $Gotimes H$ of $G$ and $H$ has vertex set $V(Gotimes H)=V(G)times V(H)$ and edge set $E(Gotimes H)={(a,b)(c,d)| acin E(G):: and:: bdin E(H)}$. In this paper, some results on this product are obtained by which it is possible to compute the Wiener and Hyper Wiener indices of $K_n otimes G$.
متن کاملOn Braided Tensor Categories of Type Bcd
We give a full classification of all braided semisimple tensor categories whose Grothendieck semiring is the one of Rep ( O(∞) ) (formally), Rep ( O(N) ) , Rep ( Sp(N) ) , or of one of its associated fusion categories. If the braiding is not symmetric, they are completely determined by the eigenvalues of a certain braiding morphism, and we determine precisely which values can occur in the vario...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2003
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1522818