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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