It is shown that except in three cases conjugacy classes of classical Weyl groups W(Bn) and W(Dn) are of type D. This proves that Nichols algebras of irreducible Yetter–Drinfeld modules over the classical Weyl groups 𝕎n (i.e. Hn ⋊ 𝕊n) are infinite dimensional, except the class of type (2, 3), (12, 3) in 𝕊5, and (1n−2, 2) in 𝕊n for n > 5.

中文翻译：

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经典外尔群上的尼科尔斯代数（II）

结果表明，除了三种情况下经典外尔群的共轭类W(乙n)和W(Dn)是类型D. 这证明了经典 Weyl 群上不可约 Yetter-Drinfeld 模的 Nichols 代数𝕎n（IEHn ⋊ 𝕊n) 是无限维的，除了类型的类(2, 3), (12, 3)在𝕊5， 和(1n-2, 2)在𝕊n为了n > 5.