Matthias K"unzer

Fakult"at f. Mathematik
Universit"at Bielefeld
Postfach 100131
D-33501 Bielefeld

Title: A two-box-shift morphism for Specht modules

Abstract:

Let n geq 1, let lambda be a partition of n, 
let mu be a partition arising from lambda by 
a downwards shift of two boxes situated at the bottom 
of a column. We give a formula for a ZS_n-linear 
morphism of order m between the corresponding Specht 
modules over Z/(m), where m is the box shift length 
(divided by two in certain combinatorially specified cases).
Reformulated, this yields an extension of the 
corresponding Specht modules over Z of order m in Ext^1. 

Status of paper: preprint.