LOW-DIMENSIONAL COHOMOLOGY OF LIE SUPERALGEBRA A(1,0) WITH COEFFICIENTS IN WITT OR SPECIAL SUPERALGEBRAS

被引：4

作者：

Sun, Liping ^{[1
]}

Liu, Wende ^{[1
,2
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150006, Peoples R China

[2] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2013年 / 17卷 / 01期

关键词：

Witt superalgebra; Special superalgebra; Cohomology; CARTAN-TYPE;

D O I：

10.11650/tjm.17.2013.1812

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Over a field of characteristic p > 2, using a direct sum decomposition of submodules and the weight space decomposition for the Witt superalgebra viewed as A(1, 0)-module, we compute the low-dimensional cohomology groups of the special linear Lie superalgebra A(1, 0) with coefficients in the Witt superalgebra. We also compute the low-dimensional cohomology groups of A(1, 0) with coefficients in the Special superalgebra.

引用

页码：83 / 107

页数：25

共 27 条

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