Geodesic
On self-Mullineux and self-conjugate partitions
Ana Bernal1
1Universite de Reims
The electronic journal of combinatorics, Tome 28 (2021) no. 1
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The Mullineux involution is a relevant map that appears in the study of the modular representations of the symmetric group and the alternating group. The fixed points of this map are certain partitions of particular interest. It is known that the cardinality of the set of these self-Mullineux partitions is equal to the cardinality of a distinguished subset of self-conjugate partitions. In this work, we give an explicit bijection between the two families of partitions in terms of the Mullineux symbol.
DOI : 10.37236/9283
Classification : 20C30, 05A17, 05E10, 20C20

Ana Bernal  1

1 Universite de Reims 
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Ana Bernal. On self-Mullineux and self-conjugate partitions. The electronic journal of combinatorics, Tome 28 (2021) no. 1. doi: 10.37236/9283

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