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

2011/07/15 by Ryom-Hansen, Steen
#FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1107.3076

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.

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