Geodesic
A one-box-shift morphism between Specht modules
Künzer, Matthias1
1 Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld
Electronic research announcements of the American Mathematical Society, Tome 06 (2000), pp. 90-94 Cet article a éte moissonné depuis la source American Mathematical Society

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We give a formula for a morphism between Specht modules over $(\mathbf {Z}/m)\mathcal {S}_n$, 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.
DOI : 10.1090/S1079-6762-00-00085-8

Künzer, Matthias 1

1 Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld 
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Künzer, Matthias. A one-box-shift morphism between Specht modules. Electronic research announcements of the American Mathematical Society, Tome 06 (2000), pp. 90-94. doi: 10.1090/S1079-6762-00-00085-8

[1] Carter, Roger W., Lusztig, George On the modular representations of the general linear and symmetric groups Math. Z. 1974 193 242

[2] Carter, R. W., Payne, M. T. J. On homomorphisms between Weyl modules and Specht modules Math. Proc. Cambridge Philos. Soc. 1980 419 425

[3] James, G. D. The representation theory of the symmetric groups 1978

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