Abstract
Throughout this chapter k will be an algebraically closed field; positive characteristic will be allowed. In this chapter we’ll forget about quantum groups, and consider a class of Hopf algebras satisfying a definition designed to capture some of the features we’ve already noted in the examples treated in Chapters II1.2 and III.3, features which — as it turns out — occur more generally, not just for quantized enveloping algebras and quantized function algebras at roots of unity, but also, for instance, in enveloping algebras of modular Lie algebras.
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