INDE X
adelization, 58 , 60
algebraic group , 5 8
anisotropic, 1
automorphic form , 7 8
bounded domain , 214ff.
Cayley transformation , 5- 6
central simpl e algebra , 25 1
class o f lattices, 62
conductor, 23 8
congruence subgroup , 6 2
cusp form , 7 9
denominator ideal , 19
discriminant, 6
Eisenstein series , 94 , 96, 150
Fourier expansio n of , 151
elementary divisors , 17
elliptic modula r type , 7 8
£-hermitian form , 1
Euler facto r
local, 133-5
Euler product , 168, 174
factor o f automorphy, 40 , 78
Fourier expansion , 20 9
of an automorphi c form , 148, 227fT.
Gauss sum , 239-4 0
genus o f lattices, 62
limited, 20 5
Hecke algebra , 8 5
Hecke character, 23 8
Hecke operator, 8 6
ideal character , 23 8
inner product , 8 1
involution, 1
main, 24 , 252
isotropic, 1
259
kernel function , 220 , 224
//-function, 23 8
lattice, 2 6
maximal, 2 6
mass, 9 9
of a genus, 20 5
of a limite d genus , 20 5
maximal order , 25 2
measure
Haar, 6 5
invariant, 42 , 54, 81
modular form , 7 8
normalized Heck e character, 23 8
origin, 41, 77
parabolic subgroup , 7 , 68
minimal, 7
primitive matrix , 17
quaternion algbra , 24 , 252
radical, 6 8
reduced expression , 19
reductive group , 6 8
regular matrix , 104
semisimple group , 6 8
Siegel set , 23 4
strong approximation , 6 2
subspace, 1
theta function , 241fT.
totally isotropic , 2
unipotent radical , 10, 68
weak approximation , 6 5
weight, 7 8
Witt decomposition , 4 , 26
weak, 4 , 26
Witt's theorem , 2
Previous Page Next Page