Pointed Hopf algebras over the sporadic simple groups

被引：22

作者：

Andruskiewitsch, N. ^{[2
]}

Fantino, F. ^{[2
]}

Grana, M. ^{[1
]}

Vendramin, L. ^{[1
,3
]}

机构：

[1] Univ Buenos Aires, Dept Matemat, FCEyN, RA-1428 Buenos Aires, DF, Argentina

[2] Univ Nacl Cordoba, Fac Matemat Astron & Fis, CIEM, CONICET, RA-5000 Cordoba, Argentina

[3] Univ Gral Sarmiento, Inst Ciencias, RA-1653 Buenos Aires, DF, Argentina

来源：

JOURNAL OF ALGEBRA | 2011年 / 325卷 / 01期

关键词：

Pointed Hopf algebras; Nichols algebras; Racks; CLASSIFICATION;

D O I：

10.1016/j.jalgebra.2010.10.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that every finite-dimensional complex pointed Hopf algebra with group of group-likes isomorphic to a sporadic group is a group algebra, except for the Fischer group Fi(22), the Baby Monster and the Monster. For these three groups, we give a short list of irreducible Yetter-Drinfeld modules whose Nichols algebra is not known to be finite-dimensional. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：305 / 320

页数：16

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