MATH 4080 模與表示論 Modules & Representat'n Theory

Course Code	MATH 4080 MATH4080			科目名稱		Modules & Representat'n Theory 模與表示論
教員	Professor YU Jiu Kang [官方介紹] [學術著作]			學　　分		3學分
課程性質	數學系選修			同科其他選擇
Workload	l   非PAPER類HOMEWORK l   MIDTERM l   FINAL EXAM								好重
									重
									平均	1
									輕
									極輕
評價教學內容	#1 比起其他4字頭course難度起碼算中上（雖然唔排除係我個人問題😂），唔係真係好鍾意pure math唔建議take。同埋佢講嘅嘢會超過個course嘅textbook好多，建議揾過第本reference睇（例如dummit & foote）
評價教員教學	#1 教得算係咁，但係有時會花好多時間講啲容易嘢，但係啲高階啲嘅就係咁意帶過
CUSIS科目資料	Description： This course is an introduction to modules over rings, as well as the representation theory of finite groups. It is one of the continuations of MATH3030 (the other being MATH3040). Students are expected to have knowledge in MATH2070 and MATH3030, or equivalent.   Learning Outcome：         We introduce the students to the advanced level of abstract algebra so that they are able to appreciate the exciting development of abstract algebra since the mid 19th century. And we provide the students with a solid background to understand deep mathematics and make them well-prepared for more advanced topics like: number theory, representation theory, algebraic geometry.  Upon completion of the course, students should be able to  - learn the basics of module theory: basic structural theory of modules, modules over principal ideal domains; - learn the basics of representation theory: group representations and group rings, Maschke's theorem, character theory, constructions of representations; - apply basic results and techniques to solve problems in the theory and other related subjects  - prepare for graduate studies in algebra-related subjects such as algebraic geometry, algebraic number theory and representation theory.
其他資料	2019Sem2：學位 40|註冊 17|剩餘 23
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