English

Complete branching rules for Specht modules

Representation Theory 2015-07-28 v1 Combinatorics

Abstract

We give a combinatorial description for when the Specht module of an arbitrary diagram admits a (complete) branching rule. This description, given in terms of the maximal rectangles of the diagram, generalizes all previously known branching rules for Specht modules, such as those given by Reiner and Shimozono for northwest diagrams and by the present author for forest diagrams.

Cite

@article{arxiv.1507.07287,
  title  = {Complete branching rules for Specht modules},
  author = {Ricky Ini Liu},
  journal= {arXiv preprint arXiv:1507.07287},
  year   = {2015}
}

Comments

21 pages

R2 v1 2026-06-22T10:19:06.044Z