题目：On connected components of skew group algebras

报告人：林亚南 教授，厦门大学

时间：2021年11月18日（星期四）16：30-17：30

地点：东区管理科研楼1308教室

摘要：Let A be a basic connected finite dimensional associative algebra over an algebraically closed field k and G be a cyclic group. By Reiten-Riedtmann, there is a quiver Q_G with relations \rho_G such that the skew group algebras A[G] is Morita equivalent to the quotient algebra of path algebra kQ_G modulo ideal (\rho_G). Generally, the quiver Q_G is not connected. Motivated by Jinyun Guo's work, we show a method to determine the number of connect components of Q_G. 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^{*}. This is joint work with Jianmin Chen and Qiang Dong.

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