Representative Functions and Hopf Algebras
This chapter introduces the basic algebraic machinery arising in the study of group representations. The principal notion of a Hopf algebra is developed here as an abstraction from the systems of functions associated with the representations of a group by automorphisms of finite-dimensional vector spaces. This leads to an initializing discussion of our main objects of study, affine algebraic groups.
KeywordsHopf Algebra Algebraic Group Neutral Element Tensor Factor Canonical Morphism
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