Examples of pointed color Hopf algebras

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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Bibliographic Details
Main Authors: Andruskiewitsch, Nicolás, Angiono, Iván Ezequiel, Bagio, Dirceu
Format: article biblioteca
Language:eng
Published: 2014
Subjects:Color Hopf algebras, Nichols algebras, Semisimple Hopf algebras, Abelian extensions,
Online Access:http://hdl.handle.net/11086/20504
https://doi.org/10.1142/S0219498813500989
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Summary: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.