Pointed Hopf algebras over the sporadic simple groups

JOURNAL OF ALGEBRA

卷:325

Article

Andruskiewitsch, N.²  Fantino, F.²  Grana, M.¹  Vendramin, L.^1,3 

[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

关键词: Pointed Hopf algebras;    Nichols algebras;    Racks;   

DOI  :  10.1016/j.jalgebra.2010.10.019

来源: Elsevier

【 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.

【 授权许可】

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