Generalised regularisation maps on partitions

Abstract

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

References in corpus (1)

• Combinatorial Wall-Crossing and the Mullineux Involution