數學學科2021系列學術報告之二十三

　　題目：On connected components of skew group algebras

　　報告人：林亞南教授

　　時間:2021年10月20日9:30---10:30

　　地點：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.

　　個人簡介：林亞南，廈門大學陳景潤數學特聘教授，博士生導師。國務院政府特殊津貼專家，國家萬人計劃領軍人才，教育部第四屆教學名師獎，福建省杰出人民教師，福建省師德標兵，福建省高校領軍人才。教育部大學數學課程教學指導委員會成員。國家精品課程、國家優秀資源共享課程、國家線上一流課程《高等代數》負責人。廈門大學數學專業省級教學團隊帶頭人。主持的項目獲得福建省高等教育教學成果一等獎、特等獎，全國高等教育教學成果二等獎。《數學研究》《數學文化》編委。連續主持國家自然科學基金7個面上項目。獨立獲得福建省科技進步二等獎，合作獲得教育部自然科學一等獎。已經培養畢業博士11人，畢業碩士40多人。