Universal central extensions of sl(m, n, A) over associative superalgebras

被引：1

作者：

Garcia-Martinez, Xabier ^{[1
]}

Ladra, Manuel ^{[1
]}

机构：

[1] Univ Santiago de Compostela, Dept Algebra, Santiago De Compostela, Spain

来源：

TURKISH JOURNAL OF MATHEMATICS | 2017年 / 41卷 / 06期

关键词：

Lie superalgebras; Steinberg superalgebras; universal central extensions; ABELIAN TENSOR PRODUCT; LIE-SUPERALGEBRAS; ALGEBRAS; HOMOLOGY;

D O I：

10.3906/mat-1604-34

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We find the universal central extension of the matrix superalgebras sl(m, n, A), where A is an associative superalgebra and m+n = 3, 4, and its relation with the Steinberg superalgebra sl(m, n, A). We calculate H-2 (sl(m, n, A)) and H-2 (sl(m, n, A)). Finally, we introduce a new method using the nonabelian ensor product of Lie superalgebras to find the connection between H-2 (sl(m, n, A)) and the cyclic homology of associative superalgebras for m + n >= 3.

引用

页码：1552 / 1569

页数：18

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