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- W4387323216 abstract "We consider small quantum groups with root systems of Cartan, super and modular type, among others. These are constructed as Drinfeld doubles of finite-dimensional Nichols algebras of diagonal type. We prove a linkage principle for them by adapting techniques from the work of Andersen, Jantzen and Soergel in the context of small quantum groups at roots of unity. Consequently we characterize the blocks of the category of modules. We also find a notion of (a)typicality similar to the one in the representation theory of Lie superalgebras. The typical simple modules turn out to be the simple and projective Verma modules. Moreover, we deduce a character formula for 1-atypical simple modules." @default.
- W4387323216 created "2023-10-04" @default.
- W4387323216 creator A5033670467 @default.
- W4387323216 date "2023-09-29" @default.
- W4387323216 modified "2023-10-05" @default.
- W4387323216 title "Linkage principle for small quantum groups" @default.
- W4387323216 doi "https://doi.org/10.48550/arxiv.2310.00103" @default.
- W4387323216 hasPublicationYear "2023" @default.
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