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

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

2008-01-07

arxiv.org/abs/0801.0914v2

Mathematics

Representation Theory

11pages, LaTeX format

Scientific paper

10.1007/s11005-008-0231-1

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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