Index o f term s
Albert algebra , 9
reduced, 4 9
Arason invarian t es, 54 , 90 , 108
base point , 9-10
classifying variety , 108
cohomological cycl e module , 11 0
cohomological invariant , 11
constant
cohomology class , 2 3
element o f th e Wit t ring , 6 5
invariant, 11, 106
contain, 7 5
corestriction, 2 0
of a n invariant , 34 , 128
cubic resolvent , 7 1
cup product , 152
formulas, 16
special (•) , 53 , 60
standard (•) , 16
cycle module , 110
cyclotomic character , 8 4
derivation formula , 122
discriminant
of a polynomial , 5 6
of a quadrati c form , 8
Dynkin inde x gcdn M, 122, 130
of a quasi-spli t simpl e group , 148
of a simpl e group , 157-15 8
of a spli t simpl e group , 136
Elman-Lam invariant , see en((t)
essential dimension , 13, 32, 5 2
etale algebra , 8
exercise, 12, 18, 40, 43 , 45, 47, 51, 54, 56 ,
59, 61, 64, 66 , 79 , 8 4
field o f definitio n o f a character , 133
first residue , 6 4
fusion, stron g contro l of , 3 7
Galois cohomology , 9 , 10
generic principa l homogeneou s space , 108
G-Galois algebra , 8
good reduction , 2 9
Hodge *-operator , 9 4
homotopy invariance , 112
inertia group , 17
invariant, 7 , 10
cohomological, 11
constant, 106
normalized, 106
of a n algebrai c group , 106
quadratic form , 6 8
stable, 3 6
Witt, 6 4
Killing for m (o f G
2
an d F
4
), 6 7
A operations, 6 3
A-ring, 6 3
liftable, 30 , 5 2
loop, 119
Milnor K-theory , 5 4
multiquadratic (etal e algebra) , 5 6
negligible (cohomolog y class) , 11, 61
Noether's problem , 8 6
nondegenerate quadrati c form , 107
normalized
cocycle, 16
invariant, 11, 57, 106
octonion algebra , 9 , 4 4
Pfister form , 9 , 107
pole (o f a cohomolog y class) , 19
polynome bicarre , 78 , 86 , 9 1
property OQ, 83
quaternion algebra , 3 9
quaternion grou p (Qw), 9 0
ramification locus , 5 6
rational (fiel d extension) , 8 6
reduced (Alber t algebra) , 4 9
residue
167
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