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

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

1994-12-19

arxiv.org/abs/q-alg/9412001v1

Mathematics

Quantum Algebra

8 pages, latex

Scientific paper

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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