Examples of pointed color Hopf algebras
Nicolas Andruskiewitsch, Ivan Angiono, Dirceu Bagio
TL;DR
This paper provides examples of pointed color Hopf algebras within braided tensor categories, exploring their relation to quantum doubles and discussing properties of semisimple variants.
Contribution
It introduces specific examples of color Hopf algebras and examines their connection to quantum doubles and semisimplicity, advancing understanding in this algebraic area.
Findings
Examples of pointed color Hopf algebras are constructed.
Relations between color Hopf algebras and quantum doubles are analyzed.
Semisimple color Hopf algebras are discussed.
Abstract
We present examples of color Hopf algebras, i.e. Hopf algebras in color categories (braided tensor categories with braiding induced by a bicharacter on an abelian group), related with quantum doubles of pointed Hopf algebras. We also discuss semisimple color Hopf algebras.
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