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arxiv: 0810.4666 · v2 · pith:V43PFFNMnew · submitted 2008-10-26 · 🧮 math.AC · math.CO

Computing inclusions of Schur modules

classification 🧮 math.AC math.CO
keywords modulesalgorithmscomputingconstructingdegreedescribedescribingeisenbud-floystad-weyman
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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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