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.
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Shun-Jen Cheng was partially supported by an NSC-grant of the ROC and an Academia Sinica Investigator grant.
Jae-Hoon Kwon was partially supported by KRF-grant 2005-070-C00004.
Ngau Lam was partially supported by an NSC-grant 96-2115-M-006-008-MY3 of the ROC.
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Cheng, SJ., Kwon, JH. & Lam, N. A BGG-Type Resolution for Tensor Modules over General Linear Superalgebra. Lett Math Phys 84, 75–87 (2008). https://doi.org/10.1007/s11005-008-0231-1
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DOI: https://doi.org/10.1007/s11005-008-0231-1