2017 Fall Course Syllabus - Mathematics 9012.001
Course: Mathematics 9012.001.
Course Title: Representation Theory I.
Time: TR 12:30-1:50.
Place: Wachman 617.
Instructor: Martin W. Lorenz.
Instructor Office: Wachman 528.
Instructor Email: martin.lorenz@temple.edu
Instructor Phone: 215.204.5013 (email is preferred).
Course Web Page: CourseWebPage
Office Hours: TR 2-3:30 or by appointment.
Prerequisites: Math 8011 & 8012 or equivalent or permission of instructor.
Textbook: As textbook for this course, we will use a preliminary version of a book on Representation Theory that I am in the process of writing. The pdf file of the current version of the book is available on my web page (https://math.temple.edu/~lorenz/book.html). Feel free to download the file -- I do not recommend to print it out in its entirety as the book is still undergoing revision and it is very long.
Course Goals: This two-semester course aims to give an introduction to algebraic representation theory. The emphasis in the first semester (fall) will be on representations of finite groups over the complex numbers, where the fundamental ideas of representation theory are most accessible and everything can be calculated explicitly by means of "characters".
Topics Covered: I will start by introducing the fundamental notions of representation theory in the general setting of algebras. Then I will specialize to group algebras or, equivalently, representations of groups. My approach in the first semester will have a strong emphasis on examples, with the symmetric groups featuring prominently towards the end of the semester.
Course Grading: The course grade will be solely based on homework assignments.
Exam Dates: No exams will be given.
Attendance Policy: Attendance will not be monitored, but you are strongly encouraged to attend class regularly and to take complete class notes.
Any student who has a need for accommodation based on the impact of a disability should contact me privately to discuss the specific situation as soon as possible. Contact Disability Resources and Services at (215) 204-1280, 100 Ritter Annex, to coordinate reasonable accommodations for students with documented disabilities.
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