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          湖州師范學院黨委宣傳部、新聞中心主辦

          數學學科2021系列學術報告之二十三

          來源:理學院 發布日期:2021-10-12

            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。


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