The Algebra of Schur Operators
Combinatorics
2019-07-15 v1
Abstract
We study a representation of the (local) plactic monoid given by Schur operators , which act on partitions by adding a box in column (if possible). In particular, we give a complete list of the relations that hold in the algebra of Schur operators.
Cite
@article{arxiv.1907.05824,
title = {The Algebra of Schur Operators},
author = {Ricky Ini Liu and Christian Smith},
journal= {arXiv preprint arXiv:1907.05824},
year = {2019}
}