Vol. 1, No. 1, 2009

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Computing inclusions of Schur modules

Steven V. Sam

Vol. 1 (2009), 5–10

We describe a software package for constructing minimal free resolutions of graded GLn()-equivariant modules M over Q[x1,,xn] such that, for all i, the i-th syzygy module of M is generated in a single degree. We do so by describing some algorithms for manipulating polynomial representations of GLn() following ideas of Olver and Eisenbud–Fløystad–Weyman.

Mathematical Subject Classification 2010
Primary: 13P99
Secondary: 13D02, 15A69
Supplementary material

Macaulay2 source code

Received: 30 October 2008
Revised: 5 June 2009
Accepted: 27 June 2009
Steven V. Sam
Department of Mathematics
Massachusetts Institute of Technology
Cambridge, MA 02139
United States