Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1981 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Hochschild, G.P. (1981). Representative Functions and Hopf Algebras. In: Basic Theory of Algebraic Groups and Lie Algebras. Graduate Texts in Mathematics, vol 75. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8114-3_1
Download citation
DOI: https://doi.org/10.1007/978-1-4613-8114-3_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-8116-7
Online ISBN: 978-1-4613-8114-3
eBook Packages: Springer Book Archive