Session S16 - Quantum symmetries

Wednesday, July 14, 13:45 ~ 14:10 UTC-3

Some non-semisimple modular categories constructed from super quantum groups

Guillermo Sanmarco

Universidad Nacional de Córdoba, Argentina   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We will report on work in progress. We construct a class of super quantum groups associated to Nichols algebras of super type A and prove that their representation categories provide examples of non-semisimple modular tensor categories. The main tools come from recent work by Laugwitz-Walton, where braided Drinfeld doubles and relative monoidal centers are employed to construct such modular categories.

Joint work with Robert Laugwitz (The University of Nottingham).

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