On families of Hopf algebras without the dual Chevalley property

• Naihong Hu ^[1] ; Rongchuan Xiong ^[1]
  1. [1] East China Normal University

     East China Normal University

     China

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 59, Nº. 2, 2018, págs. 443-469
• Idioma: inglés
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• Resumen

  • Let k be an algebraically closed field of characteristic zero. We construct several families of finite-dimensional Hopf algebras over k without the dual Chevalley property via the generalized lifting method. In particular, we obtain 14 families of new Hopf algebras of dimension 128 with non-pointed duals which cover the eight families obtained in our unpublished version, arXiv:1701.01991 [math.QA].