Hopf algebras: motivations and examples
G. H. E. Duchamp (LIPN), P. Blasiak (IFJ-PAN - Polish Academy of, Sciences), A. Horzela (IFJ-PAN - Polish Academy of Sciences), K. A. Penson, (LPTMC), A. I. Solomon (LPTMC)
TL;DR
This paper explores the motivation and construction methods of Hopf algebras, emphasizing dualization techniques and the use of Sweedler's dual starting from associative algebras.
Contribution
It introduces a new approach for constructing Hopf algebras using dualization and Sweedler's dual, enhancing understanding of their foundational methods.
Findings
Provides a clear motivation for Hopf algebras
Introduces a construction method based on dualization
Highlights the role of Sweedler's dual in Hopf algebra theory
Abstract
This paper provides motivation as well as a method of construction for Hopf algebras, starting from an associative algebra. The dualization technique involved relies heavily on the use of Sweedler's dual.
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