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Pointed Hopf algebras of odd dimension and Nichols algebras over solvable groups (2411.02304v1)
Published 4 Nov 2024 in math.QA and math.RA
Abstract: We classify finite-dimensional Nichols algebras of Yetter-Drinfeld modules with indecomposable support over finite solvable groups in characteristic 0, using a variety of methods including reduction to positive characteristic. As a consequence, all Nichols algebras over groups of odd order are of diagonal type, which allows us to describe all pointed Hopf algebras of odd dimension.