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arXiv · 0801.0914

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

Shun-Jen Cheng·Jae-Hoon Kwon·Ngau Lam
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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, Jae-Hoon Kwon, Ngau Lam. 2008-03-10. A BGG-type resolution for tensor modules over general linear superalgebra. https://doi.org/10.1007/s11005-008-0231-1

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