Hopf algebras: motivations and examples

A. Horzela (IFJ-PAN - Polish Academy of Sciences); A. I. Solomon (LPTMC); G. H. E. Duchamp (LIPN); K. A. Penson (LPTMC); P. Blasiak (IFJ-PAN - Polish Academy of Sciences)

arxiv: 0912.3866 · v1 · pith:2XSZ75ATnew · submitted 2009-12-19 · 🧮 math-ph · math.MP

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) This is my paper

classification 🧮 math-ph math.MP

keywords algebrashopfalgebraassociativeconstructiondualdualizationexamples

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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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Hopf algebras: motivations and examples

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