Cylindric multipartitions and level-rank duality
Representation Theory
2018-09-26 v1 Combinatorics
Abstract
We show that a multipartition is cylindric if and only if its level rank-dual is a source in the corresponding affine type crystal. This provides an algebraic interpretation of cylindricity, and completes a similar result for FLOTW multipartitions.
Keywords
Cite
@article{arxiv.1809.09519,
title = {Cylindric multipartitions and level-rank duality},
author = {Thomas Gerber},
journal= {arXiv preprint arXiv:1809.09519},
year = {2018}
}
Comments
7 pages, 7 figures