Pointed hopf algebras of dimension 32 |
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| Authors: | Matías Graña |
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| Institution: | Depto de Matemática, Pab. I , Ciudad Universitaria , Buenos Aires, 1428, Argentina E-mail: matiasg@dm.uba.ar |
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| Abstract: | We give a complete classification of the 32-dimensional pointed Hopf algebras over an algebraically closed field k with chark k ≠ 2. It turns out that there are infinite families of isomorphism classes of pointed Hopf algebras of dimension 32. In AS1], BDG] and Ge] are given families of counterexamples for the tenth Kaplansky conjecture. Up to now, 32 is the lowest dimension where Kaplansky conjecture fails. |
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