PieriMaps -- Methods for computing Pieri inclusions
Description
Some references:
- Andrzej Daszkiewicz, On the Invariant Ideals of the Symmetric Algebra S.(V ⊕∧2 V), J. Algebra 125, 1989, 444-473.
- William Fulton, Young Tableaux: With Applications to Representation Theory and Geometry, London Math. Society Student Texts 35, 1997.
- Jerzy Weyman, Cohomology of Vector Bundles and Syzygies, Cambridge University Press, 2002.
Version
This documentation describes version 0.5.0 of PieriMaps.
Exports
Functions
- pieri -- computes a matrix representation for a Pieri inclusion of representations of a general linear group
- pureFree -- computes an GL(V)-equivariant map whose resolution is pure, or the reduction mod p of such a map
- saturatePieri -- computes a matrix representation for a Pieri inclusion modulo p of representations of a general linear group
- schurRank -- computes the dimension of the irreducible GL(QQ^n) representation associated to a partition
- standardTableaux -- list all standard tableaux of a certain shape with bounded labels
- straighten -- computes straightening of a tableau