报告题目：On connected components of skew group algebras

报 告 人：林亚南教授

报告时间：2021年12月5日  14:30-15:30

报告地点：数学研究中心报告厅

报告摘要：

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 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. Motivated by Guo's work, we show 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*. This is joint work with Jianmin Chen and Qiang Dong.

报告人简介：

林亚南，厦门大学“陈景润数学特聘教授”，数学科学学院原院长，博士生导师。德国Bielefeld大学博士。中央特别支持计划（万人计划）教学名师，教育部教学名师，享受国务院特殊津贴专家，原全国数学专业教学指导委员会委员。《数学文化》《数学研究》编委。