Hopf Algebras

Winter semester 2020
Course: MATH 6329
Course record number: 92847
Instructor: Y. Sommerhäuser
Schedule:
- Time: Tue 12:00 m-12:50 pm, Thu 12:00 m-12:50 pm, Fri 1:00 pm-1:50 pm
- Room: SN 2041
Office hours of Y. Sommerhäuser: Tue, Thu 5:00 pm-6:00 pm, Fri 2:15 pm-4:15 pm and by appointment
Textbook: Y. Sommerhäuser: MATH 6329 Course Manual, Memorial University, St. John's, 2020
Outline: We discuss Hopf algebras and Hopf modules, integrals, Frobenius algebras, Maschke's theorem for Hopf algebras, modular functions and elements, Radford's formula for the fourth power of the antipode, trace formulas for integrals, the Larson-Radford theorem on the involutivity of semisimple Hopf algebras over fields of characteristic zero, the Nichols-Zoeller freeness theorem, the class equation for Hopf algebras, the Drinfel'd double, the exponent of a Hopf algebra, and Cauchy's theorem for Hopf algebras.
Examinations: There will be a midterm examination and a comprehensive final examination. The midterm examination takes place on Thursday, February 27, during class time in our usual classroom. The final examination takes place during the examination period from April 8 to April 18 at a time and place determined by the registrar's office.
Homework: On Tuesday, a weekly exercise sheet will be handed out, containing three or four problems. The completion of this exercise sheet is voluntary; it will not be collected or marked.
Examination criteria: The final mark will be computed using the following weights.
- Midterm exam: 30 percent
- Final exam: 70 percent
Syllabus.
Exercise sheets:

Former courses
Last modified: April 19, 2020