SchurComplexes -- Schur functors of chain complexes

This package computes the Schur complex $S_{\lambda}F_{\bullet}$ associated to a bounded chain complex $F_{\bullet}$ of finitely-generated free modules, and a partition $\lambda$. Our conventions are the transpose of the convention in "Cohomology of Vector Bundles and Syzygies", by Jerzy Weyman, Chapter 2.4.

Authors

• Michael K. Brown <[email protected]>
• Amy Huang <[email protected]>
• Robert Laudone <[email protected]>
• Michael Perlman <[email protected]>
• Claudiu Raicu <[email protected]>
• Steven V Sam <[email protected]>
• Joao Pedro Santos <[email protected]>

Certification

Version 1.1 of this package was accepted for publication in volume 9 of 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.

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