Anti-Yetter-Drinfeld Modules for Quasi-Hopf Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Kobyzev, I., Shapiro, I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209859
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Anti-Yetter-Drinfeld Modules for Quasi-Hopf Algebras / I. Kobyzev, I. Shapiro // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 16 назв. — англ.

We apply categorical machinery to the problem of defining anti-Yetter-Drinfeld modules for quasi-Hopf algebras. While a definition of Yetter-Drinfeld modules in this setting, extracted from their categorical interpretation as the center of the monoidal category of modules, has been given, none was a...