English

Reconstruction of Weak Quasi Hopf Algebras

q-alg 2008-02-03 v1 Quantum Algebra

Abstract

All rational semisimple braided tensor categories are representation categories of weak quasi Hopf algebras. To proof this result we construct for any given category of this kind a weak quasi tensor functor to the category of finite dimensional vector spaces. This allows to reconstruct a weak quasi Hopf algebra with the given category as its representation category.

Keywords

Cite

@article{arxiv.q-alg/9504001,
  title  = {Reconstruction of Weak Quasi Hopf Algebras},
  author = {Reinhard Häring},
  journal= {arXiv preprint arXiv:q-alg/9504001},
  year   = {2008}
}

Comments

19 pages, LaTex2E