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.
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页码：609 / 653
页数：45
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