Cofree Hopf algebras on Hopf bimodule algebras

• Xin Fang ^[1] ; Run-Qiang Jian ^[2]
  1. [1] University of Cologne

     University of Cologne

     Kreisfreie Stadt Köln, Alemania

     
  2. [2] Dongguan University of Technology

     Dongguan University of Technology

     China

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 9 (September 2015), 2015, págs. 3913-3930
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2014.12.028
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• Resumen

  • We investigate a Hopf algebra structure on the cotensor coalgebra associated to a Hopf bimodule algebra which contains universal version of Clifford algebras and quantum groups as examples. It is shown to be the bosonization of the quantum quasi-shuffle algebra built on the space of its right coinvariants. The universal property and a Rota–Baxter algebra structure are established on this new algebra.