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ISSN 1079-6762

 

 

A one-box-shift morphism between Specht modules


Author: Matthias Künzer
Journal: Electron. Res. Announc. Amer. Math. Soc. 6 (2000), 90-94
MSC (2000): Primary 20C30
Published electronically: October 5, 2000
MathSciNet review: 1783092
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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.


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Additional Information

Matthias Künzer
Affiliation: Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld
Email: kuenzer@mathematik.uni-bielefeld.de

DOI: http://dx.doi.org/10.1090/S1079-6762-00-00085-8
Keywords: Symmetric group, Specht module
Received by editor(s): July 14, 2000
Published electronically: October 5, 2000
Communicated by: David J. Benson