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Abstract

In this chapter we introduce the notion of a Hopf algebra over a field K as a bialgebra with an additional map called the coinverse (or antipode). We discuss some basic features of Hopf algebras and give some initial examples, including the group ring KG. In many respects, KG is the example that is generalized in the concept of Hopf algebra.

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Underwood, R.G. (2015). Hopf Algebras. In: Fundamentals of Hopf Algebras. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-18991-8_3

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