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Nichols algebras over classical Weyl groups

Published 10 Jul 2020 in math.QA and math.RA | (2007.06538v1)

Abstract: We show that except in several cases conjugacy classes of classical Weyl groups $W(B_n)$ and $W(D_n)$ are of type {\rm D}. We prove that except in three cases Nichols algebras of irreducible Yetter-Drinfeld ({\rm YD} in short )modules over the classical Weyl groups are infinite dimensional.

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