TECHNIQUES FOR CLASSIFYING HOPF ALGEBRAS AND APPLICATIONS TO DIMENSION p3

被引：6
|
作者：
Beattie, Margaret [1 ]
Andres Garcia, Gastn [2 ,3 ]
机构：
[1] Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
[2] Univ Nacl Cordoba, CIEM CONICET, Fac Matemat Astron & Fis, RA-5000 Cordoba, Argentina
[3] Univ Nacl Cordoba, CIEM CONICET, Fac Ciencias Exactas Fis & Nat, RA-5000 Cordoba, Argentina
来源：
COMMUNICATIONS IN ALGEBRA | 2013年 / 41卷 / 08期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Chevalley property; Copointed; Hopf algebras of small dimension; Pointed; CORADICAL FILTRATION; SEMISIMPLE; P(2); PQ;
D O I：
10.1080/00927872.2012.692004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Classifying Hopf algebras of a given finite dimension n over C is a challenging problem. If n is p, p(2), 2p, or 2p(2) with p prime, the classification is complete. If n=p(3), the semisimple and the pointed Hopf algebras are classified, and much progress on the remaining cases was made by the second author but the general classification is still open. Here we outline some results and techniques which have been useful in approaching this problem and add a few new ones. We give some further results on Hopf algebras of dimension p(3) and finish the classification for dimension 27.
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收藏
页码：3108 / 3129
页数：22
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