Constructing Non-semisimple Modular Categories with Local Modules
نویسندگان
چکیده
We define the class of rigid Frobenius algebras in a (non-semisimple) modular category and prove that their categories local modules are, again, modular. This generalizes previous work Kirillov Ostrik (Adv Math 171(2):183–227, 2002) semisimple setup. Examples non-semisimple via modules, as well connections to authors’ prior on relative monoidal centers, are provided. In particular, we classify Drinfeld centers module over group algebras, thus generalizing classification by Davydov (J Algebra 323(5):1321–1348, 2010) arbitrary characteristic.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2023
ISSN: ['0010-3616', '1432-0916']
DOI: https://doi.org/10.1007/s00220-023-04824-4