A BGG-type resolution for tensor modules over general linear superalgebra

被引：14

作者：

Cheng, Shun-Jen ^{[1
]}

Kwon, Jae-Hoon ^{[2
]}

Lam, Ngau ^{[3
]}

机构：

[1] Acad Sinica, Inst Math, Taipei 11529, Taiwan

[2] Univ Seoul, Dept Math, Seoul 130743, South Korea

[3] Natl Cheng Kung Univ, Dept Math, Tainan 70101, Taiwan

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2008年 / 84卷 / 01期

关键词：

Bernstein-Gelfand-Gelfand resolution; singular vector; Kac module; general linear superalgebra;

D O I：

10.1007/s11005-008-0231-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct a Bernstein-Gelfand-Gelfand type resolution in terms of direct sums of Kac modules for the finite-dimensional irreducible tensor representations of the general linear superalgebra. As a consequence it follows that the unique maximal submodule of a corresponding reducible Kac module is generated by its proper singular vector.

引用

页码：75 / 87

页数：13

共 15 条

[1] HOOK YOUNG-DIAGRAMS WITH APPLICATIONS TO COMBINATORICS AND TO REPRESENTATIONS OF LIE-SUPERALGEBRAS [J].