Remarks on the second homology groups of queer Lie superalgebras

被引：0
作者：
Wang, Yongjie [1 ]
Chang, Zhihua [2 ]
机构：
[1] Hefei Univ Technol, Sch Math, Hefei, Anhui, Peoples R China
[2] South China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2022年 / 50卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Central extension; cyclic homology group; queer Lie superalgebra; root-graded Lie superalgebra; UNIVERSAL CENTRAL EXTENSIONS; ALGEBRAS;
D O I：
10.1080/00927872.2021.1986518
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this note is to completely determine the second homology group of the special queer Lie superalgebra sq(n)(R) coordinatized by a unital associative superalgebra R, which will be achieved via an isomorphism between the special linear Lie superalgebra sl(n)(R circle times Q(1)) and the special queer Lie superalgebra sq(n)(R).
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页码：1632 / 1640
页数：9
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