#
Representation Theory

**Course Syllabus**
**Lecture notes (book draft)**
**Exercises on tensor product **
** Homework #1 due September 9. ** Exercises 2.4, 4.22 (c), 4.24 from Chapter 1 in Lecture notes.
** Homework #2 due September 18. ** Exercises 5.5, 6.5, 6.6 from Chapter 1 in Lecture notes.
** Homework #3 due September 25. ** Exercises 1.7, 1.8, 2.6, 4.2 from Chapter 2 in Lecture notes.
** Homework #4 due October 2.** Exercises 4.7, 5.6, 5.8 from Chapter 2 Lecture notes.
** Homework #5 due October 9. ** Exercise 3.2 Chapter 3. 1) Find all irreducible rational representations
of a finite cyclic group. 2) Classify irreducible finite-dimensional representations of the compact group O_2.
** Attention: no class on Friday October 16. **
** Homework #6 due October 19.**
** Homework #7 due October 23. ** Chapter 4, Lecture notes: exercises 2.1, 3.1, 3.3.
** Homework #8 due October 30. ** Chapter 5, exercises 2.14, 3.3, 4.3, 4.13.
** Homework #9 due November 6. ** Chapter 6, exercises 1.17, 1.22, 1.23.
** Homework #10 due November 13. ** Chapter 6, exercises 2.8, 3.5, 3.7, 3.10.
** Homework #11 due November 20. ** Chapter 6, exercises 4.9, 6.2, 8.2, 8.4.
** Homework #12 due December 2. ** Chapter 6, exercises 8.15, 8.18 (check recent version on the web!),
Chapter 5, exercise 7.19, chapter 7, exercises 2.8, 4.2 .
** Final Exam.**