KOSZUL DUALITY AND THE HOCHSCHILD COHOMOLOGY OF ARTIN-SCHELTER REGULAR ALGEBRAS

被引：2
|
作者：
Liu, Leilei [1 ]
机构：
[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
来源：
HOMOLOGY HOMOTOPY AND APPLICATIONS | 2020年 / 22卷 / 02期
关键词：
Artin-Schelter algebra; Koszul duality; cohomology; Batalin-Vilkovisky algebra; DUALIZING COMPLEXES;
D O I：
10.4310/HHA.2020.v22.n2.a12
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We identify two Batalin-Vilkovisky algebra structures, one obtained by Kowalzig and Krahmer on the Hochschild cohomology of an Artin-Schelter regular algebra with semisimple Nakayama automorphism and the other obtained by Lambre, Zhou and Zimmermann on the Hochschild cohomology of a Frobenius algebra also with semisimple Nakayama automorphism, provided that these two algebras are Koszul dual to each other.
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页码：181 / 202
页数：22
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