English

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

q-alg 2008-02-03 v1 Quantum Algebra

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.

Keywords

Cite

@article{arxiv.q-alg/9412001,
  title  = {Self-Diagonal Tensor Powers of Quantum Groups and R-Matrices for Tensor Products of Representations},
  author = {Ralf A. Engeldinger},
  journal= {arXiv preprint arXiv:q-alg/9412001},
  year   = {2008}
}

Comments

8 pages, latex