Forms of pointed Hopf algebras

被引：0

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：

暂无

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.

引用

页码：35 / 53

页数：18