|
|||||
|
|
A BGG-Type Resolution for Tensor Modules over General Linear Superalgebra |
|
| Authors: | Shun-Jen Cheng Jae-Hoon Kwon Ngau Lam |
| Institution: | (1) Institute of Mathematics, Academia Sinica, Taipei, 11529, Taiwan;(2) Department of Mathematics, University of Seoul, 90, Cheonnong-Dong, Dongdaemungu, Seoul, 130-743, South Korea;(3) Department of Mathematics, National Cheng-Kung University, Tainan, 70101, Taiwan |
| Abstract: | 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. Ngau Lam was partially supported by an NSC-grant 96-2115-M-006-008-MY3 of the ROC. |
| Keywords: | Bernstein– Gelfand– Gelfand resolution singular vector Kac module general linear superalgebra |
| 本文献已被 SpringerLink 等数据库收录！ | |