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Abstract Let be an algebraically closed field of characteristic zero. We determine all finite-dimensional Hopf algebras over whose Hopf coradical is isomorphic to the unique 12-dimensional Hopf algebra without the… Click to show full abstract
Abstract Let be an algebraically closed field of characteristic zero. We determine all finite-dimensional Hopf algebras over whose Hopf coradical is isomorphic to the unique 12-dimensional Hopf algebra without the dual Chevalley property, such that the diagrams are strictly graded and the corresponding infinitesimal braidings are indecomposable objects in . In particular, we obtain new Nichols algebras of dimension 18 and 36 and two families of new Hopf algebras of dimension 216.
Keywords:
algebra without;
hopf;
unique dimensional;
dimensional hopf;
hopf algebra;
hopf algebras
Journal Title: Communications in Algebra
Year Published: 2019
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Journal Title: Communications in Algebra
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!