Nichols algebras over classical Weyl groups,Journal of Algebra and Its Applications

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Nichols algebras over classical Weyl groups
Journal of Algebra and Its Applications ( IF 0.8 ) Pub Date : 2020-07-31 , DOI: 10.1142/s0219498821501875
Zhengtang Tan ₁ , Weicai Wu ₂ , Shouchuan Zhang ₃

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We show that except in several cases conjugacy classes of classical Weyl groups W(Bn) and W(Dn) are of type D. We prove that except in three cases Nichols algebras of irreducible Yetter–Drinfeld (YD) modules over the classical Weyl groups are infinite dimensional.

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