Course Description and Grading BreakdownThe course will be approximately devoted to three topics (more or less, depending on time and real-time choices of the instructor): 1) Around semisimple algebras. 2) Basic aspects of representation theory of finite groups. 3) Basic theory of finite groups (Group actions, Sylow theorem, solvable/nilpotent groups, semidirect products, etc). The grading will be using weekly homework assignments (no exams). Course Meeting Time and LocationMonday, Wednesday and Friday 9:00 - 9:55 am 104 Math Building (Building 15) Course Instructor Contact Information and Office Hours223 Math Building (Building 15) Office hours: Monday, 10:00-10:55 am TA Contact Information and Office Hours2-B Math Building Office hours: Saturday, 07:00 - 07:55 pm Course Schedule and TextbookTextbooks: * "Algebra" by Serge Lang (available for students via the link https://clsproxy.library.caltech.edu/login?url=http://dx.doi.org/10.1007/978-1-4613-0041-0). * My lecture notes (see at the bottom of this page). * Other textbooks might be added later (for subjects such as the Brauer group, or representation theory of finite groups).
Course PoliciesLate work - Assignments
Collaboration Table
* You may use a computer or calculator while doing the homework, but may not refer to this as justification for your work. For example, "by Mathematica" is not an acceptable justification for deriving one equation from another. Also, since computers and calculators will not be allowed on the exams, it's best not to get too dependent on them. |