Abstract:
Using descent theory, we study Hopf algebra forms of pointed Hopf algebras. It turns out that the set of isomorphism classes of such forms are in one-to-one correspondence to other known invariants, for example the set of isomorphism classes of Galois extensions with a certain group F, or the set of isometry classes of m-ary quadratic forms. Our theory leads to a classification of all Hopf algebras over a field of characteristic zero that become pointed after a base extension, in dimension p, p 2 and p 3, with p odd.
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Received: 22 November 1998
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Caenepeel, S., Dăscălescu, S. & Le Bruyn, L. Forms of pointed Hopf algebras. manuscripta math. 100, 35–53 (1999). https://doi.org/10.1007/s002290050194
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DOI: https://doi.org/10.1007/s002290050194