教学活动
  1. Current teaching activities
    The semester: August 28, 2008 - January 20, 2009
    1. 《高等代数》Advanced Algebra
      This is a course for undergraduate students at the School of Mahematical Sciences.
      • Date:   Wednesday, 8:00am--8:50am; Friday, 10:10am-12:00am
      • Classroom: Zengxianzi Building (J-9), Room 402.
      • Text book: 张禾瑞、郝炳新《高等代数》。
      • References: 北大数学力学系编《高等代数》或其他类似教材。
      • 答疑时间： TBA
      • 答疑地点： TBA
      • Exercise: 每周三由科代表收交上一周作业给助教。
        • 2009.9.26: p. ?, 习题？。
        • 2008.9.24: p. ?, 习题？。
    2. 《文献选读》Selected papers in representation theory
      This is a seminar designed for graduate students and Ph.D. students to read together some selected papers in representation theory and related topics, and to discuss their mathematical problems.
      • Date:   Thursday, 2:00pm--
      • Classroom: Math. Building (J-8), Room 108.
    3. 《代数表示论基础》
      This is a seminar for graduate students at higher classes to read the book of Auslander-Reiten-Smallo or some elementary materials on derived categories and equivalences. It is required that participants should take some jobs in the course.
      • Date:   Monday, 6:30pm--
      • Classroom: Math. Building (J-8), Room 108.
  2. Previous teaching activities
    • The semester: February 18, 2008 - August 31, 2008
      1. Homological algebra
        This is a course for graduate students and Ph. D. students at school of mathematical sciences. Undergraduate students of higher classes also are welcome.
        • Date:   Monday, 7:00pm--
        • Classroom: Math. Building (J-8), Room 108.
      2. 《文献选读》Selected papers in representation theory
        This is a seminar designed for graduate students and Ph.D. students to read together some selected papers in representation theory and related topics, and to discuss their mathematical problems.
        • Date:   Friday, 7:00pm--
        • Classroom: Electrinic Building, Room 105.
      3. 《代数表示论基础》
        This is a seminar for graduate students at higher classes to read the book of Auslander-Reiten-Smallo together. It is required that participants should take some jobs in the course.
        • Date:   Wednesday, 7:00pm--
        • Classroom: Teaching Building 7, Room 501.
      4. 《线性代数》
        This is a course for graduate students not at mathematical school.
        • Date:   Thursday, 7:00pm--8:50pm
        • Classroom: Electrinic Building, Room 105
    • The semester: August 30, 2007 - January 19, 2008
      1. 《近世代数》 This is a course for undergraduate students at school of mathematical sciences.
        • Date:   Tuesday, 10:10am--12:00am; Thursday, 8:00am-10:00am
        • Classroom: Tuesday in Teaching Building No.9(J-9), Room 104. Thursday in Teaching Building No.9, Room 214.
        • 答疑时间：Friday, 7:00pm-9:00pm
        • 答疑地点：J-8, 310.
        • Exercises: 每周2交前一周的作业。由科代表统一收交。
        • 期末考试成绩以及最后的综合成绩， 请同学们等待一些天后，到教务办公室直接查询。特此奉告。
      2. Seminars
        1. Seminar on affine cellular algebras. This is a seminar for graduate students and Ph.D. students to read together some selected papers on cellular and affine cellular algebras as well as related topics.
          • Date:   Monday, 2:15pm--.
          • Classroom: Electronic Building, Room 103.
        2. Seminar on homological metholds in representation theory. This is a seminar for Ph.D. students.
          • Date:   Thursday, 7:00pm--.
          • Classroom: Math.Building (J-8), Room 311.
    • The semester: March 1，2007 - August 31, 2007
      1. 《Finite dimensional algebras》 This is a seminar for first year or second year graduate students who want to learn about the basic knowlege of modules and finite-dimensional algebras. Undergraduate students of third or fourth year are welcome.
        • Date:   Tuesday, 6:30pm--
        • Classroom: Teaching Building No.4(J-4, 103), Room 103.
      2. 《文献选读与讨论》 This is a seminar for graduate students and Ph.D. students to read together some selected papers in representation theory and related topics, and to discuss their mathematical problems.
        • Date:   Thursday, 6:30pm--.
        • Classroom: Math.Building (J-8), Room 311.
    • The semester: August 30，2006 - January 29, 2007
      1. 《文献选读与讨论》 The seminar is designed for graduate students and Ph.D. students to read together some selected papers in representation theory and related topics, and to discuss their mathematical problems.
        • Date:   Tuesday, 6:30pm--.
        • Classroom: Math.Building (J-8), Room 311.
      • 《2006暑假讨论班》(July 19-August 23, 2006)
        This is a short introductory seminar for graduate students who have interest in tilting theory and want to read some materials on the subject together during the summer vacation.
        • Topic:   Tilting theory.
        • Dates:   Wednesday, 6:30pm--.
        • Classroom: Math.Building (J-8), Room 308.
    • The semester: February 20-July 16，2006
      1. 《有限群的表示》for undergraduate students.
      2. 《文献选读与讨论》 This is a seminar for graduate students and higher class of undergraduate students. In the seminar, we shall read together some selected papers in representation theory and related topics . Also, progresses and problems on algebras and representations will be discussed.
        • Date:   Wednesday, 2:30pm--.
        • Classroom: Math.Building (J-8), Room 310.
    • The semester: August 29, 2005 - January 20,2006
      1. 《交换代数》for undergraduate students.
      2. 《文献选读与讨论》-- Seminar on Gabriel-Roiter measure： This is a seminar for graduate students and higher class of undergraduate students. In the seminar, we shall study the subject "Gabriel-Roiter measure". The basic material will be the recent works of Prof. C.M.Ringel on the subject. Of course, some related topics will also be discussed in the seminar.
        • Date:   Thursday, 2:30pm--.
        • Classroom: Math.Building (J-8), Room 313.
    • The semester: Feb.21, 2005 - July 17, 2005
      1. A course on model categories: This is a new course for graduate students. In this coures, we shall study the basic materials on model categories. We are interested in the model category structures of certain module categories (or related categories) arising from the representation theory of artin algebras.
        • Date:   Monday evening, 7:30pm--.
        • Classroom: Math.Building (J-8), Room 311.
      2. Seminar of selected papers on homological conjectures in representation theory
        • Date:   Tuesday 2:30pm--.
        • Classroom: Electronic Building (J-6), Room 101.
    • The semester: August 23, 2004 - January 23, 2005
      1. Seminar of selected papers《代数表示论专题讨论班》: In this seminar we choose certain topics in the representattion theory and study the material together.
        • Date:   Monday, 7:00pm--.
        • Place: Math.Building (J-8), Room 303.
    • The semester: February 9, 2004 - July 4, 2004
      1. 《Introduction to representation theory of algebras》for undergraduate students at Math. Department.
        • Date:   Wednesday, 7:00-9:30pm.
        • Room: Math.Building (J-8), Room 309.
        • The references for the course will be announced during the course.
        • List of participants of the course.
          Note (March 1,2004): if you choose the course, but your name does not appear in the list, please contact the Teaching Office at the Department immediately. The final score of the course will be given ony for the students in the list.

      2. Seminar of selected papers《代数表示论文献选读》: This is an internal seminar designed to discuss and solve some mathemtical problems posed by our graduate students during their studies and researches on algebra and representation theory. Very often, we'll read some interesting papers together.
        • Date:   Tuesday, 7:00pm--.
        • Place: Math.Building (J-8), Room 305.
    • The semester: August 25, 2003 - Jan.11, 2004
      1. 《Abstract algebra》for graduate students at Math. Department.
        • Date:   Tuesday, 10:00-12:00;     Friday, 8:00-10:00.
        • Room: Math.Building (J-8), Room 309.
        • The references for the course are:
          • T.W. Hungerford: Algebra. GTM 73.
          • N.Jacobson: Basic algebra I, II. W.H.Freeman and company, san Francisco, 1974.
          • Anderson and Fuller: Rings and categories of modules. GTM 13.
          • Curtis and Reiner: Representation theory of finite groups and associative algebras. John Wiley and Sons, 1962.
          • GTM 62;  GTM 88.
        • Examination:
          • Date: Wednesday, Jan. 7, 2004, 8:00:00-11:00am
          • Room: Math. Building (J-8), Room 309.
        • 为了更好地理解和复习本课程的内容和方法,2003年12月26日星期五8:00-10:00将对本学期所学的内容做一次提纲性的概括复习.
        • 为了解决同学们在复习过程中可能遇到的问题, 2004年1月6日晚上7:00-9:00进行一次答疑。地点J8-309。 如果同学们还有其它有关该课程的问题和建议, 欢迎及时联系。
      2. 《Linear algebra》for non-mathematical graduate students.
               Sept. 10, 2003--Nov. 5, 2003
        • Date: Wednesday, 7:00pm-9:30pm.
        • Room: Math.Building (J-8), Room 313.
        • Date of the final examination: 5. Nov. 2003, 7:00pm-9:00pm.
      3. Seminar 《代数表示论文献选读》: This is an internal seminar designed to discuss and solve some mathemtical problems posed by our graduate students during their studies and researches on algebra and representation theory. Very often, we'll read some interesting papers together.
        • Date: Monday evening, 7:00pm -- open.
        • Room: Math.Building (J-8), Room 311.
    • The semester (17.Feb. 2003-13.Jul. 2003):
      1. Seminar on representation theory of algebras:
        • Date: Thursday, 15:00-17:30 or more.
        • Room: Math.Building (J-8), Room 410.
          (Sometimes the place of this seminar might be changed. Please click 《学术信息》to check the announcement in 《学术报告》.)
      2. Seminar 《代数表示论文献选读》
        • Date: Tuesday, 19:00-.
        • Room: Math.Building (J-8), Room 311
    • The semester (02.Sept.2002-17.Jan.2003):
      1. Undergraduate student course (for students at Math. Dept.):
        《近世代数》:
        • 上课时间:周一 10:10-12:00，教室：教2楼101； 周四 8:00-9:50， 教室: 教7楼103;
        • 交作业时间：每周一;
        • 答疑时间：周四晚 7:00-9:00，地点在教8楼410;
        • 辅导老师：刘玉明，温道伟.
        期末考试：2003年1月16日，具体安排见系教务公告。
        为解决复习中同学们遇到的问题，增加如下答疑时间:
        • 1月15日（周三）：2:00pm-5:00pm,
        • 1月16日（周四）：8:30am-10:30am
        • 地点: J8-410
      2. Graduate course for non-mathematical students (02.Sept-08.Nov.2002, 共30学时)
        《线性代数》，周三 18:30-21:30, 周日 18:30-21:30, 教室: 教2楼211. (该课程内容见如下的 II.1.B)
      3. Seminar
        《代数表示论文献选读》, 周一下午， 2：30-5：30， J-8楼 308.

    • The semester (25 Feb.2002 - 14.July 2002)：
      1. Graduate student course：
        1. Introduction to Lie algebras and representation theory. Tuesday,7:00-9:30pm,J8-410.
          Contents:
          1. basic concepts and examples
          2. modules and representations
          3. nilpotent and solvable Lie algebras
          4. Theorem of Lie on semisimple Lie algebras, 
          5. Killing form
          6. Weyl's theorem, 
          7. representation of sl(2),
          8. root space decomposition
          9. Abstract root systems
          10. classification of the irreducible root systems
          11. constraction of root systems
          12. weights
          13. isomorphism theorem
          14. Cartan subalgebras
          15. universal enveloping algebras
          16. PBW basis
        2. 《线性代数》：主要对象是非数学专业的硕士研究生。该课程的教学时间为10周(30学时), 主要内容有：
          1. 基本概念:集合及其基本运算，数域，数学归纳法，运算，等价关系，映射
          2. 二、三阶行列式的定义与二元一次和三元一次方程组的解法
          3. n阶行列式的定义： 排列及其对偶性，行列式的基本性质
          4. 行列式的计算： 按一行或一列展开；Laplace定理介绍
          5. 行列式常用计算方法介绍
          6. Cramer规则
          7. 线性方程组的消元法
          8. 矩阵及其运算
          9. 矩阵的初等变换与初等矩阵
          10. 矩阵的秩
          11. 线性方程组有解的判别及解的结构
          12. 可逆矩阵
          13. 分块矩阵介绍
          14. 向量空间及其简单性质
          15. 子空间及其运算
          16. 子空间的直和和同构
          17. 线形变换的定义几例子
          18. 线性变换的运算
          19. 基底与线形变换的矩阵简介
          20. 矩阵的特征值和特征向量
          21. Maple中线性代数软件介绍
          22. 复习考试
          教学参考书：
          1. 张禾瑞,郝炳新<高等代数>,高教出版社.
          2. 其它任何<线性代数>或<高等代数>的书。
      2. Undergraduate student courses:
        1. Semisimple algebras（理科基地班课程）.
          March,11 -- April 24, 2002, Wednesday 3:00-5:00pm, J8-305.
        2. 《 代数兴趣小组 》
          （2001.09.24--2002.01.18)
      3. Seminar：
        • Thursday afternoon: 2:30-5:30pm, J8-306 
        • Friday evening: 7:00-9:30pm, J8-308