Abstract
In this paper, the author gives a complete set of simple Yetter–Drinfeld modules over the Suzuki algebra [Formula: see text] and investigates the Nichols algebras over those irreducible Yetter–Drinfeld modules. The finite-dimensional Nichols algebras of diagonal type are of Cartan type [Formula: see text], [Formula: see text], [Formula: see text], Super type [Formula: see text] and the Nichols algebra [Formula: see text]. And the involved finite-dimensional Nichols algebras of non-diagonal type are [Formula: see text], [Formula: see text] and [Formula: see text]-dimensional. The left three unsolved cases are set as open problems. In particular, all finite-dimensional Nichols algebras are given for simple Yetter–Dinfeld modules over [Formula: see text].
Published Version
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