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

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Cheng, Shun-Jen
Kwon, Jae-Hoon
Lam, Ngau
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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.
Comment: 11pages, LaTeX format
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Mathematics - Representation Theory, 17B67
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