English

Young's seminormal basis vectors and their denominators

Representation Theory 2021-05-11 v4

Abstract

We study Young's seminormal basis vectors of the dual Specht modules of the symmetric group, indexed by a certain class of standard tableaux, and their denominators. These vectors include those whose denominators control the splitting of the canonical morphism Δ(λ+μ)Δ(λ)Δ(μ)\Delta(\lambda+\mu) \to \Delta(\lambda) \otimes \Delta(\mu) over Z(p)\mathbb{Z}_{(p)}, where Δ(ν)\Delta(\nu) is the Weyl module of the classical Schur algebra labelled by ν\nu.

Keywords

Cite

@article{arxiv.2007.11188,
  title  = {Young's seminormal basis vectors and their denominators},
  author = {Ming Fang and Kay Jin Lim and Kai Meng Tan},
  journal= {arXiv preprint arXiv:2007.11188},
  year   = {2021}
}
R2 v1 2026-06-23T17:18:15.111Z