Corpus ID: 235266011

# BGG categories in prime characteristics

@inproceedings{Andersen2021BGGCI,
title={BGG categories in prime characteristics},
author={H. H. Andersen},
year={2021}
}
Let g be a simple complex Lie algebra. In this paper we study the BGG category Oq for the quantum group Uq(g) with q being a root of unity in a field K of characteristic p > 0. We first consider the simple modules in Oq and prove a Steinberg tensor product theorem for them. This result reduces the problem of determining the corresponding irreducible characters to the same problem for a finite subset of finite dimensional simple modules. Then we investigate more closely the Verma modules in Oq… Expand

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