Computing inclusions of Schur modules
Commutative Algebra
2015-07-07 v2 Combinatorics
Abstract
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.
Cite
@article{arxiv.0810.4666,
title = {Computing inclusions of Schur modules},
author = {Steven V Sam},
journal= {arXiv preprint arXiv:0810.4666},
year = {2015}
}
Comments
7 pages, no figures. v2: updated with examples of code use. Package may be downloaded here: http://math.mit.edu/~ssam/PieriMaps.m2