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In this paper, the author gives a complete set of simple Yetter-Drinfeldmodules over Suzuki algebra $A_{N\,2n+1}^{\mu\lambda}$ and investigates theNichols algebras over those irreducible Yetter-Drinfeld modules. The finitedimensional Nichols algebras of diagonal type are of Cartan type $A_1$,$A_1\times A_1$, $A_2$, Super type ${A}_{2}(q;I_2)$ and the Nichols algebra$\mathfrak{ufo}(8)$. And the involved finite dimensional Nichols algebras ofnon-diagonal type are $12$, $4m$ and $m^2$ dimensional. The left three unsolvedcases are set as open problems.

Finite dimensional Nichols algebras over Suzuki algebra II: over simple Yetter-Drinfeld modules of $A_{N\,2n+1}^{\mu\lambda}$