Computing inclusions of Schur modules

Details Computing inclusions of Schur modules Computing inclusions of Schur modules

2008-10-26

arxiv.org/abs/0810.4666v2

Journal of Software for Algebra and Geometry 1 (2009), 5-10

Mathematics

Commutative Algebra

7 pages, no figures. v2: updated with examples of code use. Package may be downloaded here: http://math.mit.edu/~ssam/PieriMap

Scientific paper

We describe a software package for constructing minimal free resolutions of GL_n(Q)-equivariant graded modules M over Q[x_1, ..., x_n] such that for all i, the ith syzygy module of M is generated in a single degree. We do so by describing some algorithms for manipulating polynomial representations of the general linear group GL_n(Q) following ideas of Olver and Eisenbud-Floystad-Weyman.

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