A One-box-shift Morphism between Specht Modules
نویسندگان
چکیده
We give a formula for a morphism between Specht modules over (Z/m)Sn, where n ≥ 1, and where the partition indexing the target Specht module arises from that indexing the source Specht module by a downwards shift of one box, m being the box shift length. Our morphism can be reinterpreted integrally as an extension of order m of the corresponding Specht lattices.
منابع مشابه
A two-box-shift morphism between Specht modules
Let n ≥ 1, let λ be a partition of n, let μ be a partition arising from λ by a downwards shift of two boxes situated at the bottom of a column. We give a formula for a ZSnlinear 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 corresp...
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