English

Generalised regularisation maps on partitions

Combinatorics 2021-05-13 v1 Representation Theory

Abstract

In a 1976 landmark paper, Gordon James defined the regularisation maps on integer partition, yielding certain decomposition numbers for modular representations of Sn\mathfrak{S}_n. We describe a generalisation of James's regularisation map and give with proof an algorithm for such maps in the abacus.

Cite

@article{arxiv.2105.05550,
  title  = {Generalised regularisation maps on partitions},
  author = {Diego Millan Berdasco},
  journal= {arXiv preprint arXiv:2105.05550},
  year   = {2021}
}
R2 v1 2026-06-24T02:01:53.983Z