Memorial University of Newfoundland

Department of Mathematics
and Statistics

Atlantic Algebra





Faculty of Science


Yorck Sommerhäuser


Hopf Algebras

  • Winter semester 2022
  • Course: MATH 6329
  • Course record number: 96826
  • Instructor: Y. Sommerhäuser
  • Schedule:
  • Office hours of Y. Sommerhäuser:
    • Time: Mon, Fri 4:00 pm-6:00 pm and by appointment
    • Room: HH 3007
  • Textbook: Y. Sommerhäuser: MATH 6329 Course Manual, 2nd ed., Memorial University, St. John's, 2022
  • 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.
  • Homework: Beginning Tuesday of the second week, a weekly exercise sheet will be distributed via e-mail. This has to be submitted on the following Tuesday via e-mail. There will be no exercise sheets during the last two weeks of the semester.
  • Examinations: There will be no examinations.
  • Final mark: The final mark will be based entirely on the score of the exercise sheets.
  • Syllabus.
  • Exercise sheets:

Former courses
Last modified: March 22, 2022