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.

引用

页码：591 / 604

页数：14

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