A BGG-type resolution for tensor modules over general linear superalgebra
Representation Theory
2009-11-13 v2
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.
Cite
@article{arxiv.0801.0914,
title = {A BGG-type resolution for tensor modules over general linear superalgebra},
author = {Shun-Jen Cheng and Jae-Hoon Kwon and Ngau Lam},
journal= {arXiv preprint arXiv:0801.0914},
year = {2009}
}
Comments
11pages, LaTeX format