Geodesic
On residue symbols and the Mullineux conjecture
Journal of Algebraic Combinatorics, Tome 7 (1998) no. 3, pp. 227-251.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: This paper is concerned with properties of the Mullineux map, which plays a rôle in p-modular representation theory of symmetric groups. We introduce the residue symbol for a p-regular partitions, a variation of the Mullineux symbol, which makes the detection and removal of good nodes (as introduced by Kleshchev) in the partition easy to describe. Applications of this idea include a short proof of the combinatorial conjecture to which the Mullineux conjecture had been reduced by Kleshchev.
Keywords: symmetric group, modular representation, Mullineux conjecture, signature sequence, good nodes in residue diagram 
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     author = {Bessenrodt, C. and Olsson, J.B.},
     title = {On residue symbols and the {Mullineux} conjecture},
     journal = {Journal of Algebraic Combinatorics},
     pages = {227--251},
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     number = {3},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_1998__7_3_a5/}
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Bessenrodt, C.; Olsson, J.B. On residue symbols and the Mullineux conjecture. Journal of Algebraic Combinatorics, Tome 7 (1998) no. 3, pp. 227-251. http://geodesic.mathdoc.fr/item/JAC_1998__7_3_a5/