Reconstruction of Weak Quasi Hopf Algebras

1995/04/03 by Häring, Reinhard
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.q-alg/9504001

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.

Related

• Graded elementary quasi-Hopf algebras of tame representation type
• Quantum Symmetry
• Finite tensor categories
• More examples of pseudosymmetric braided categories
• On the Representation Categories of Weak Hopf Algebras Arising from Levin-Wen Models