ABSTRACT

This study covers comodules, rational modules and bicomodules; cosemisimple, semiperfect and co-Frobenius algebras; bialgebras and Hopf algebras; actions and coactions of Hopf algebras on algebras; finite dimensional Hopf algebras, with the Nicholas-Zoeller and Taft-Wilson theorems and character theory; and more.

chapter 1|64 pages

Algebras and coalgebras

chapter 2|52 pages

Comodules

chapter 3|30 pages

Special classes of coalgebras

chapter 4|34 pages

Bialgebras and Hopf algebras

chapter 5|52 pages

Integrals

chapter 6|56 pages

Actions and coactions of Hopf algebras

chapter 7|72 pages

Finite dimensional Hopf algebras