Representations of Modular Skew Group Algebras

Liping Li

Representation Theory Rings and Algebras mathscidoc:1702.30012

Trans. Amer. Math. Soc., 367, 6293-6314, 2015
n this paper we study representations of skew group algebras $\Lambda G$, where $\Lambda$ is a connected, basic, finite-dimensional algebra (or a locally finite graded algebra) over an algebraically closed field $k$ with characteristic $p \geqslant 0$, and $G$ is an arbitrary finite group each element of which acts as an algebra automorphism on $\Lambda$. We characterize skew group algebras with finite global dimension or finite representation type, and classify the representation types of transporter categories for $p \neq 2,3$. When $\Lambda$ is a locally finite graded algebra and the action of $G$ on $\Lambda$ preserves grading, we show that $\Lambda G$ is a generalized Koszul algebra if and only if so is $\Lambda$.
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@inproceedings{liping2015representations,
  title={Representations of Modular Skew Group Algebras},
  author={Liping Li},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170222103843689160492},
  booktitle={Trans. Amer. Math. Soc.},
  volume={367},
  pages={6293-6314},
  year={2015},
}
Liping Li. Representations of Modular Skew Group Algebras. 2015. Vol. 367. In Trans. Amer. Math. Soc.. pp.6293-6314. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170222103843689160492.
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