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Tannaka Duals in Semisimple Tensor Categories

Category Theory 2007-05-23 v1 Quantum Algebra

Abstract

Tannaka duals of Hopf algebras inside semisimple tensor categories are used to construct orbifold tensor categories, which are shown to include the Tannaka dual of the dual Hopf algebras. The second orbifolds are then canonically isomorphic to the initial tensor categories.

Keywords

Cite

@article{arxiv.math/0106065,
  title  = {Tannaka Duals in Semisimple Tensor Categories},
  author = {Shigeru Yamagami},
  journal= {arXiv preprint arXiv:math/0106065},
  year   = {2007}
}

Comments

32 pages with 3 figures supplied by tpic commands