Classification of finite-dimensional Hopf algebras over dual Radford algebras

التفاصيل البيبلوغرافية
العنوان: Classification of finite-dimensional Hopf algebras over dual Radford algebras
المؤلفون: Xiong, Rongchuan, Hu, Naihong
المصدر: Bull. Belg. Math. Soc. Simon Stevin 28 (5) (2021), 633---688
سنة النشر: 2022
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Quantum Algebra, 16T05, 16S35, 18D10
الوصف: We determine and classify all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero whose Hopf coradicals are isomorphic to dual Radford algebras of dimension $4p$ for a prime $p>5$. In particular, we obtain families of new examples of finite-dimensional Hopf algebras without the dual Chevalley property.
Comment: 44 pages
نوع الوثيقة: Working Paper
DOI: 10.36045/j.bbms.210612
URL الوصول: http://arxiv.org/abs/2209.12518
رقم الأكسشن: edsarx.2209.12518
قاعدة البيانات: arXiv