INDEX

algebra

anisotropic

automorphic form

binary form

canonical automorphism

canonical involution

capacity ideal

Center of a Clifford algebra

claSS of a lattice

class

of a symmetric matrix

ClaSS n u m b e r of an algebraic group

class number of an order

Clifford algebra

Clifford group

Conductor of an order

congruence subgroup 165,

core dimension

core subspace

cusp form 170,,

denominator ideal

discriminant algebra

discriminant field

discriminan t of a quadratic form

discriminan t of an order

13

9

169,230

120

16

16

75,210

19

81

91

81

116

16

20

106

205,229

11

11

206,230

44

12

12

12

106

eigenfunction

of differential operators 247

elementary divisor

even Clifford algebra

even Clifford group

exceptional prime

genUS of a lattice

genUS of a symmetric matrix

geilUS of maximal lattices

global field

Hasse principle

Hecke algebra

Hecke character

Hecke eigenform 170,

involution

isotropic

Laplace-Beltrami operator

lattice

local field

44

17

20

83

81

91

83

37

60

73

ix

207,232

13

9

144,158

37

37

main involution

mass

maximal lattice

maximal order

Order in an algebra

origin

orthogonal basis

orthogonal complement

orthogonal group

parabolic subgroup

(£, L)-primitive

positive involution

primitive matrix

primitive solutions

proper ideal

quaternion algebra

reduced expression

reduced norm

reduced trace

simple algebra

special orthogonal group

spherical function

spin group

spin representation

spinor norm

split Witt decomposition

strong approximation

sum of 3 squares

sum of 5, 7, 9 squares

symmetry

totally isotropic

two-sided ideal

weak approximation

weak Witt decomposition

Witt decomposition

Witt's theorem

15

133

45

37

37

149,156

12

9

9

29

95

262

44

1

107

14

44

14

14

13

9

246

23

268

24

11

81

118,119

123,135

21

9

37

85

11

11

10

275