[LN] = Lecture Notes
[K] = Alexander Kirillov Jr.’s An Introduction to Lie Groups and Lie Algebras.
Use Problem sets (PDF) to complete the problems assigned below.
Homework 1: K 2.1–2.6
Additional Exercises 1: LN 1.10
Homework 2: K 2.7–2.16
Additional Exercises 2: LN 3.4, 3.6, and 3.9
Homework 3: LN 6.2, 6.4, 6.5, and 6.14–6.17
Additional Exercises 3: LN 6.1, 6.9, and 6.11
Homework 4: K 3.1, 3.5–3.9, and 3.11
Additional Exercises 4: LN 3.12 and 4.3
Homework 5: K 3.13, and 3.15–3.19
Additional Exercises 5: LN 5.7 and 5.11
Homework 6: K 4.2, 4.4, 4.7 and 4.9
Additional Exercises 6: LN 7.7 and 8.11
Homework 7: K 4.1, 4.11, 4.12, and 5.1–5.7
Additional Exercises 7: LN 9.2 and 9.17
Homework 8: K 6.1–6.6; LN 11.19, 12.7, 15.2, and 15.5
Additional Exercises 8: LN 14.15 and 15.7
Homework 9: LN 11.4, 11.20, 15.11, and 15.16
Additional Exercises 9: LN 16.13 and 18.3
Homework 10: K 7.1, 7.2, 7.4, 7.5, and 7.8–7.11
Additional Exercises 10: LN 22.4
Homework 11: K 7.7, and 7.12–7.16
Additional Exercises 11: LN 22.18
Homework 12: LN 23.9, 23.10, 23.12, and 23.13
Additional Exercises 12: LN 23.16, 23.17, and 26.7
