Cohomology and coquasi-bialgebras in the category of Yetter-Drinfeld modules

被引：0

作者：

Angiono, Ivan ^{[1
]}

Ardizzoni, Alessandro ^{[2
]}

Menini, Claudia ^{[3
]}

机构：

[1] Univ Nacl Cordoba, CONICET, FaMAF CIEM, Medina Allende S-N, RA-5000 Cordoba, Argentina

[2] Univ Turin, Dept Math G Peano, Via Carlo Alberto 10, I-10123 Turin, Italy

[3] Univ Ferrara, Dept Math & Comp Sci, Via Machiavelli 35, I-44121 Ferrara, Italy

来源：

ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE | 2017年 / 17卷 / 02期

关键词：

QUASI-HOPF ALGEBRAS; QUANTUM GROUPS; ROOTS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a finite-dimensional Hopf algebra with the dual Chevalley Property over a field of characteristic zero is quasi-isomorphic to a Radford-Majid bosonization whenever the third Hochschild cohomology group in the category of Yetter-Drinfeld modules of its diagram with coefficients in the base field vanishes. Moreover we show that this vanishing occurs in meaningful examples where the diagram is a Nichols algebra.

引用

页码：609 / 653

页数：45

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