Central Extensions of Matrix Lie Superalgebras Over -graded Algebras

被引：0
|
作者：
Chen, Hongjia [1 ]
Guay, Nicolas [1 ]
机构：
[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2013年 / 16卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Central extensions; Lie superalgebras; Steinberg superalgebras; COVERINGS;
D O I：
10.1007/s10468-011-9320-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study central extensions of the Lie superalgebra when A is a a"currency sign/2a"currency sign-graded superalgebra over a commutative ring K. Steinberg Lie superalgebras and their central extensions play an essential role. We use a a"currency sign/2a"currency sign-graded version of cyclic homology to study the center of the extensions in question.
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页码：591 / 604
页数：14
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