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.
Sorin Dascalescu, Constantin Nastasescu, Serban Raianu
Recensioner i media
". . .a valuable investment for any student and researcher interested in algebra."---Mathematica". . .a timely addition to the literature... . . .an up-to-date introduction to the algebraic theory of Hopf algebras."---Zbl. Math". . .state of the art."---Mathematical Reviews
Innehållsförteckning
Algebras and coalgebras; comodules; special classes of coalgebras; bialgebras and Hopf algrebras; integrals; actions and coactions; finite dimensional Hopf algebras; the category theory language; C-groups and C-cogroups.