Tannaka duals in semisimple tensor categories

✍ Scribed by Shigeru Yamagami

• Book ID: 104140336
• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 295 KB
• Volume: 253
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1016/s0021-8693(02)00076-5

✦ Synopsis

Tannaka duals of finite-dimensional 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 monoidally equivalent to the initial tensor categories in a canonical fashion.