On core and bar-core partitions
Combinatorics
2013-01-09 v1 Representation Theory
Abstract
If and are relatively prime J. Olsson proved in 2008 that the -core of a -core partition is again a -core partition, and that the -bar-core of a -bar-core partition is again a -bar-core partition. Here generalized results are proved for partitions and bar-partitions when the restriction that and be relatively prime is removed.
Keywords
Cite
@article{arxiv.1011.3323,
title = {On core and bar-core partitions},
author = {Jean-Baptiste Gramain and Rishi Nath},
journal= {arXiv preprint arXiv:1011.3323},
year = {2013}
}