Forms of pointed Hopf algebras

被引：0
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作者：
S. Caenepeel
S. Dăscălescu
L. Le Bruyn
机构：
[1] Faculty of Applied Sciences,
[2] Free University of Brussels,undefined
[3] VUB,undefined
[4] Pleinlaan 2,undefined
[5] B-1050 Brussels,undefined
[6] Belgium. E-mail: scaenepe@vub.ac.be,undefined
[7] Faculty of Mathematics,undefined
[8] University of Bucharest,undefined
[9] Strada Academiei 14,undefined
[10] ¶RO-70109 Bucharest 1,undefined
[11] Romania. E-mail: sdascal@al.math.unibuc.ro,undefined
[12] Department of Mathematics,undefined
[13] University of Antwerp,undefined
[14] UIA,undefined
[15] Universiteitsplein 1,undefined
[16] B-2610 Wilrijk,undefined
[17] Belgium. E-mail: lebruyn@uia.ac.be}¶This author is a research director at the FWO (Belgium).,undefined
来源：
manuscripta mathematica | 1999年 / 100卷
关键词：
Mathematics Subject Classification (1991):16W30;
D O I：
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中图分类号：
学科分类号：
摘要：
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, p2 and p3, with p odd.
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页码：35 / 53
页数：18
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