数学学科2021系列学术报告之二十三

　　题目：On connected components of skew group algebras

　　报告人：林亚南教授

　　时间:2021年10月20日9:30---10:30

　　地点：1-232

　　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 in 1985, 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/(\rho_G). Generally, the quiver Q_G is not connected. Motivated by Guo's work, in this talk we will 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 the joint work with J.Chen and Q.Dong.

　　个人简介：林亚南，厦门大学陈景润数学特聘教授，博士生导师。国务院政府特殊津贴专家，国家万人计划领军人才，教育部第四届教学名师奖，福建省杰出人民教师，福建省师德标兵，福建省高校领军人才。教育部大学数学课程教学指导委员会成员。国家精品课程、国家优秀资源共享课程、国家线上一流课程《高等代数》负责人。厦门大学数学专业省级教学团队带头人。主持的项目获得福建省高等教育教学成果一等奖、特等奖，全国高等教育教学成果二等奖。《数学研究》《数学文化》编委。连续主持国家自然科学基金7个面上项目。独立获得福建省科技进步二等奖，合作获得教育部自然科学一等奖。已经培养毕业博士11人，毕业硕士40多人。