Presenting an introduction to the theory of Hopf algebras, the authors also discuss some important aspects of the theory of Lie algebras. This book includes a chapters on the Hopf algebra of symmetric functions, the Hopf algebra of representations of the symmetric groups, the Hopf algebras of the nonsymmetric and quasisymmetric functions, and the Hopf algebra of permutations.
This is a contribution to the classification program of pointed Hopf algebras. We give a generalization of ... Introduction. The “Lifting Procedure” (see [AS1]) is a method intended to classify finite dimensional pointed Hopf algebras.
AMS Special Session on Hopf Algebras at the Crossroads of Algebra, Category Theory, and Topology, October 23-24, 2004, Evanston, ... |N2] S. Natale, Semisolvability of semisimple Hopf algebras of low dimension, Memoirs Amer. Math.
We prove that the kernel of the action of the modular group on the center of a semisimple factorizable Hopf algebra is a congruence subgroup whenever this action is linear.