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Forms of pointed Hopf algebras |
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| Authors: | S. Caenepeel S. Dăscălescu L. Le Bruyn |
| Affiliation: | Faculty of Applied Sciences, Free University of Brussels, VUB, Pleinlaan 2, B-1050 Brussels, Belgium. E-mail: scaenepe@vub.ac.be, BE Faculty of Mathematics, University of Bucharest, Strada Academiei 14,?RO-70109 Bucharest 1, Romania. E-mail: sdascal@al.math.unibuc.ro, RO Department of Mathematics, University of Antwerp, UIA, Universiteitsplein 1, B-2610 Wilrijk, Belgium. E-mail: lebruyn@uia.ac.be}?This author is a research director at the FWO (Belgium)., BE |
| 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. Received: 22 November 1998 |
| Keywords: | Mathematics Subject Classification (1991):16W30 |
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