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A one-box-shift morphism between Specht modules
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## A one-box-shift morphism between Specht modules

### Matthias Künzer

**Abstract.**
We give a formula for a morphism between Specht modules over
$(\mbox{\rm\bf Z}/m){\CMcal S}_n$, where $n\geq 1$, 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.

*Copyright 2000 American Mathematical Society*

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#### Article Info

- ERA Amer. Math. Soc.
**06** (2000), pp. 90-94
- Publisher Identifier: S 1079-6762(00)00085-8
- 2000
*Mathematics Subject Classification*. Primary 20C30
*Key words and phrases*. Symmetric group, Specht module
- Received by the editors July 14, 2000
- Posted on October 5, 2000
- Communicated by David J. Benson
- Comments (When Available)

**Matthias Künzer**

Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld

*E-mail address:* `kuenzer@mathematik.uni-bielefeld.de`

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