Regularisation and the Mullineux map.
The electronic journal of combinatorics, Tome 15 (2008)
We classify the pairs of conjugate partitions whose regularisations are images of each other under the Mullineux map. This classification proves a conjecture of Lyle, answering a question of Bessenrodt, Olsson and Xu.
DOI :
10.37236/866
Classification :
20C30, 05E10
Mots-clés : conjugate partitions, regularisations, Mullineux maps, simple modules, symmetric groups, Specht modules
Mots-clés : conjugate partitions, regularisations, Mullineux maps, simple modules, symmetric groups, Specht modules
@article{10_37236_866,
author = {Matthew Fayers},
title = {Regularisation and the {Mullineux} map.},
journal = {The electronic journal of combinatorics},
year = {2008},
volume = {15},
doi = {10.37236/866},
zbl = {1183.20009},
url = {http://geodesic.mathdoc.fr/articles/10.37236/866/}
}
Matthew Fayers. Regularisation and the Mullineux map.. The electronic journal of combinatorics, Tome 15 (2008). doi: 10.37236/866
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