Reconstruction of Weak Quasi Hopf Algebras

Details Reconstruction of Weak Quasi Hopf Algebras Reconstruction of Weak Quasi Hopf Algebras

1995-04-03

arxiv.org/abs/q-alg/9504001v1

Mathematics

Quantum Algebra

19 pages, LaTex2E

Scientific paper

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.

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