Hopf Algebras
Content
Please log in to view module content:
Description
Module Leader: Andrew Baker (University of Glasgow)
Hopf algebras are nowadays ubiquitous across large parts of mathematics. This course will introduce the main ideas working over fields and should be of interest to people working in areas such as algebra, algebraic geometry, representation theory and algebraic/geometric topology.
Introductory talk at Perth Symposium
Lecture Notes: these will appear here and be updated regularly
Outline of material covered in lectures (with source in notes)
- Background material on category theory and vector spaces (Chapter 1)
- Algebras, coalgebras and bialgebras (Chapter 2)
- Convolution monoids and Hopf algebras (Chapter 2)
- Examples (Chapter 3)
- Modules and comodules (Chapter 4)
- Modules and comodules over Hopf algebras (Chapter 4)
Student talks
Willoughby Seago: String Diagrams
Alexandra Ciotau: Faa di Bruno Hopf algebras
Isky Mathews (contained in recording of lecture)
Emmanouil Sfinarolakis: Hopf Algebras & Feynman Graphs
Theresa Ortscheidt: Crystal Bases of Quantum Groups.pdf
Other sources
Category Theory in Context by Emily Riehl
Notes by J. Kock on Frobenius Algebras (this is a cut down version of his book)