Young's seminormal form and simple modules for $S_n$ in characteristic $p$

Steen Ryom-Hansen

Young's seminormal form and simple modules for $S_n$ in characteristic $p$

Representation Theory 2012-09-06 v3 Quantum Algebra

Authors: Steen Ryom-Hansen

Abstract

We realize the integral Specht modules for the symmetric group $S_n$ as induced modules from the subalgebra of the group algebra generated by the Jucys-Murphy elements. We deduce from this that the simple modules for $FS_n$ are generated by reductions modulo $p$ of the corresponding Jucys-Murphy idempotents.

Keywords

module theory modular forms

Cite

@article{arxiv.1107.3076,
  title  = {Young's seminormal form and simple modules for $S_n$ in characteristic $p$},
  author = {Steen Ryom-Hansen},
  journal= {arXiv preprint arXiv:1107.3076},
  year   = {2012}
}

Comments

Published version Algebras and Representation Theory 2012

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