On connected components of skew group algebras
On connected components of skew group algebras
复制标题
关于斜群代数的连通分量
DOI：
10.1007/s10114-022-1237-9
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发表时间：
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通讯作者：
Yanan Lin
中科院分区：
文献类型：
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作者：
Jianmin Chen;Qiang Dong;Yanan Lin
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 A[G] 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 the notion of weight for underlying quiver of A such that A is G-graded and determine the connect components of smash product A#kG∗.
