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

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.

11pages, LaTeX format

References in corpus (1)

• Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra q(n)

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