A. Dddnition, 1 Soit un groupe G ni Une reprrsentation linnaire de G dans V est un homomorphisme du groupe G dans le groupe GL(V), i.e

G. Une-application-de-g-dans, V) tel que pour tous s; t 2 G : (s; t) = (s)(t) : (A.1)

L. Formule, 1) implique en particulier que (1 G ) = Id V et (s ?1 ) = (s) ?1

T. Dans, T contient l''tiquette k mais pas k ?1 et par conssquent (@ T i+2 ( ~ L)) = 0, ce qui est contraire l'hypothhse

B. Remarque, 2 tant donnn un diagramme L et un tableau strictement croissant sur les lignes T 2 YT , nous avons que (T ; L) = 1 prrcissment quand on peut ddplacer les cases de L d'un pas vers le bas, en lisant T colonne par colonne

L. Corollaire and B. , 3 est quivalent la Proposition 3.14. En eeet, la seule faaon d'avoir que ((i 1 ; : : : ; i k );L) 6 = 0 correspond des cases i 1 ; : : : ; i k qui, p.156

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