# MathSciDoc: An Archive for Mathematician ∫

#### Representation TheoryRings and Algebrasmathscidoc: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\$.
```@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.