Iterating lowering operators
Representation Theory
2007-05-23 v1
Abstract
For an algebraically closed base field of characteristic p>0, a new algorithm to construct some non-zero GL(n-1)-high weight vectors of irreducible rational GL(n)-modules is suggested. It is based on successively applying Kleshchev's lowering operators to GL(n-1)-high weight vectors already obtained.
Cite
@article{arxiv.math/0605203,
title = {Iterating lowering operators},
author = {Vladimir Shchigolev},
journal= {arXiv preprint arXiv:math/0605203},
year = {2007}
}
Comments
This is the extended version of my paper in JPAA