Representative Functions and Hopf Algebras

  • Gerhard P. Hochschild
Part of the Graduate Texts in Mathematics book series (GTM, volume 75)


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.


Hopf Algebra Algebraic Group Neutral Element Tensor Factor Canonical Morphism 
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Copyright information

© Springer-Verlag New York Inc. 1981

Authors and Affiliations

  • Gerhard P. Hochschild
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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