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Reconstruction of Weak Quasi Hopf Algebras

✍ Scribed by Reinhard Häring-Oldenburg

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
277 KB
Volume
194
Category
Article
ISSN
0021-8693

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✦ Synopsis

All rational semisimple braided tensor categories are representation categories of weak quasi Hopf algebras. To prove 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 us to reconstruct a weak quasi Hopf algebra with the given category as its representation category.

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