A two-box-shift morphism between Specht modules

Details A two-box-shift morphism between Specht modules A two-box-shift morphism between Specht modules

2000-03-14

arxiv.org/abs/math/0003083v1

Mathematics

Representation Theory

Scientific paper

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.

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