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Hochschild cohomology and the modular group

被引：7
|
作者：
Lentner, Simon [1 ]
Mierach, Svea Nora [1 ,2 ]
Schweigert, Christoph [1 ]
Sommerhauser, Yorck [2 ]
机构：
[1] Univ Hamburg, Fachbereich Math Bereich Algebra & Zahlentheorie, Bundesstr 55, D-20146 Hamburg, Germany
[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
来源：
JOURNAL OF ALGEBRA | 2018年 / 507卷
基金：
加拿大自然科学与工程研究理事会;
关键词：
Factorizable ribbon Hopf algebra; Modular group; Hochschild cohomology; HOPF-ALGEBRAS; QUANTUM GROUPS; BRAIDED GROUPS; VARIETIES; HOMOLOGY;
D O I：
10.1016/j.jalgebra.2018.03.036
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It has been shown in previous work that the modular group acts projectively on the center of a factorizable ribbon Hopf algebra. The center is the zeroth Hochschild cohomology group. In this article, we extend this projective action of the modular group to an arbitrary Hochschild cohomology group of a factorizable ribbon Hopf algebra, in fact up to homotopy even to a projective action on the entire Hochschild cochain complex. (C) 2018 Elsevier Inc. All rights reserved.
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页码：400 / 420
页数：21
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