Self-Diagonal Tensor Powers of Quantum Groups and R-Matrices for Tensor Products of Representations

1994/12/19 by Ralf A. Engeldinger, Engeldinger, Ralf A.
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9412001

8 pages, latex

arxiv created 1994/12/19 · arxiv updated 2009/11/30

Abstract

Twisted tensor powers of quasitriangular Hopf algebras with diagonal sub-Hopf-algebras (self-diagonal tensor powers) are introduced together with their duals and their mutual *-structures as generalizations of the Drinfel'd double as given by Reshetikhin and Semenov-Tian-Shansky. R-Matrices for tensor products of representations are derived.

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