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On Connected Components of Skew Group Algebras
作者姓名:Jian Min CHEN  Qiang DONG  Ya Nan LIN
作者单位:School of Mathematical Sciences,Xiamen University
基金项目:Supported by the National Natural Science Foundation of China (Grant Nos. 11871404, 11971398 and 12131018);
摘    要:Let A be a basic connected finite dimensional associative algebra over an algebraically closed field k and G be a cyclic group. There is a quiver QG with relations ρG such that the skew group algebras AG] is Morita equivalent to the quotient algebra of path algebra kQG modulo ideal(ρG). Generally, the quiver QG is not connected. In this paper we develop a method to determine the number of connect components of QG. Meanwhile, we introduce th...


On Connected Components of Skew Group Algebras
Jian Min CHEN,Qiang DONG,Ya Nan LIN.On Connected Components of Skew Group Algebras[J].Acta Mathematica Sinica,2023,39(5):799-813.
Authors:Chen  Jian Min  Dong  Qiang  Lin  Ya Nan
Institution:1.School of Mathematical Sciences, Xiamen University, Xiamen, 361005, P. R. China
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Abstract:Acta Mathematica Sinica, English Series - Let A be a basic connected finite dimensional associative algebra over an algebraically closed field k and G be a cyclic group. There is a quiver QG with...
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