SchurComplexes -- Schur functors of chain complexes
Description
This package computes the Schur complex SλF• associated to a bounded chain complex F• of finitely-generated free modules, and a partition λ. Our conventions are the transpose of the convention in "Cohomology of Vector Bundles and Syzygies", by Jerzy Weyman, Chapter 2.4.
Authors
Certification 
Version 1.1 of this package was accepted for publication in volume 9 of the journal Journal of Software for Algebra and Geometry on 21 August 2019, in the article Computing Schur complexes. That version can be obtained from the journal or from the Macaulay2 source code repository, http://github.com/Macaulay2/M2/blob/master/M2/Macaulay2/packages/SchurComplexes.m2, commit number 61384b8d76f8bfef42010911dae401d24bcc6ebe.
Version
This documentation describes version 1.1 of SchurComplexes.
Source code
The source code from which this documentation is derived is in the file SchurComplexes.m2.
Exports
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Functions and commands
- schurComplex -- Schur functors of chain complexes
- straightenTableau -- Straightening law for Z/2Z-graded tableau