Index
This i s mainl y a n inde x o f definitions ; occasion -
ally mor e genera l reference s ar e given .
abacus, 8 5
absolutely irreducible , 143
addable node , 4 2
adjustment matrix , 11 7
affme quantu m group , 100
Ariki-Koike algebra , 132
Art i n brai d group , 5
beta numbers , 76 , 124
blocks, 86 , 144
braid relations , 1
branching rule , 9 6
modular, 120
Bruhat-Chevalley order , 3 0
canonical basis , 102, 108
Cart an matrix , 2 1
Carter criterion , 125
cell linked , 2 3
cell module , 17
cellular algebra , 16
cellular basis , 16
character, 9
completely reducible , 142
composition, 2 7
composition factor , 137
composition series , 137
Coxeter group , 13
crystal graph , 102
crystallized decompositio n matrix , 11 0
cyclotomic g-Schu r algebra , 134
decomposition matrix , 21, 48, 63 , 8 3
diagram, 2 8
distinguished cose t representatives , 2 9
double cose t representatives , 5 7
dominance orde r
partitions, 3 0
tableau, 30 , 7 0
double centralize r property , 6 5
dual, 2 4
e-content, 4 9
e-core, 8 5
e-quotient, 124
e-regular, 5 4
e-residue, 41, 70
e-weight, 8 5
elementary divisors , 8 1
exact sequence , 143
exchange condition , 3
filtration, 137
Fock space , 103
fundamental weights , 100
Garnir tableau , 3 3
generic degree , 9
generic Iwahori-Heck e algebra , 8
good i-node , 105
Gram determinant , 6 9
Grothendieck group , 9 7
highest weigh t module , 101
hook, 7 9
hook length , 7 9
hook lengt h formula , 5 3
indecomposable, 138
induced representation , 2 9
Iwahori-Hecke algebra , 5
Jacobson radical , 141
Jantzen filtration , 81, 8 3
Jantzen su m formula , 8 3
Jordan-Holder theorem , 138
Jucys-Murphy elements , 39 , 41, 69, 132
Krull-Schmidt theorem , 139
ladder number , 4 6
left cel l module , 17
leg length , 7 9
length, 2
lexicographic order , 3 3
Littlewood-Richardson rule , 123
LLT algorithm , 110
187
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