A two-box-shift morphism between Specht modules

Matthias Kuenzer

A two-box-shift morphism between Specht modules

表示论 2007-05-23 v1

作者: Matthias Kuenzer

摘要

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.

关键词

modular forms

引用

@article{arxiv.math/0003083,
  title  = {A two-box-shift morphism between Specht modules},
  author = {Matthias Kuenzer},
  journal= {arXiv preprint arXiv:math/0003083},
  year   = {2007}
}

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