Simple Yetter-Drinfeld modules over a non-pointed Hopf algebra
Received:November 22, 2024  Revised:February 08, 2025
Key Words: Hopf algebra,Yetter-Drinfeld module, Nichols algebra  
Fund Project:Science Foundation for Youths of Shanxi Province (Grant No.202303021212147)
Author NameAffiliation
Ruifang Yang* Shanxi Normal University 
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Abstract:
      For n>1 being odd, D(n) is a finite dimensional non-pointed and non-semisimple Hopf algebra, which is a quotient of a prime Hopf algebras of GK-dimension one. In this paper, we investigate the structure of Yetter-Drinfeld simple modules over D(n) and give iso-classes of them.
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