Artin E. — Geometric Algebra :: Электронная библиотека попечительского совета мехмата МГУ

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Artin E. — Geometric Algebra

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Название: Geometric Algebra

Автор: Artin E.

Аннотация:

This classic text, written by one of the foremost mathematicians of the 20th century, is now available in a low-priced paperback edition. Exposition is centered on the foundations of affine geometry, the geometry of quadratic forms, and the structure of the general linear group. Context is broadened by the inclusion of projective and symplectic geometry and the structure of symplectic and orthogonal groups.

Язык:

Рубрика: Математика/Алгебра/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1988

Количество страниц: 214

Добавлена в каталог: 22.11.2004

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Предметный указатель

$C^{+}(V)$ , $C^{-}(V)$       188
$C_{0}(V)$       189
$GL_{n}(k)$       151 158
, $O^{+}$ , $\Omega$       126
$PSL_{n}(k)$       168
$PSp_{n}(k)$       177
$SL_{n}(k)$       151 159
$Sp_{n}(k)$       137
$\theta$       194
130" rotation      125
Anisotropic      122
Archimedian field      46
Axis of a rotation      132
Canonical      3
Center      29
centralizer      29
Clifford algebra      156 ff.
Co-dimension      9
Collineation      86
Commutator subgroup      30
D(V)      191
Desargues' theorem      70
Determinant      14 151
Dilatation      54
Discriminant      107
Dual space      16
Elliptic space      179 ff.
Euclidean space      178 ff.
Exact sequence      92
General linear group      92 161
Group with O-element      32
Hom(V, V')      10
Hyperbolic pair      119
Hyperbolic plane      119
Hyperbolic space      119
Hyperplane      10
Index of a space      122
Involution      124
Irreducible group      136
Irreducible space      119
Isometry      107
Isotropic space      118
Isotropic vector      118

J (antiautomorphism)      192
Kernels of a pairing      18
Metric structure      105
Negative definite      148
Negative semidefinite      148
Non-singular      106
Norm      193
normalizer      29
Ordered field      40
Ordered geometry      75
Ordered group      32
Orthogonal geometry      111
Orthogonal group      126
Orthogonal sum      115 117
P-adia valuation      49
Pairing      16
Pappus' theorem      73
Pfaffian      141
Positive definite      148
Positive semi-definite      148
Projective space      86
Projective symplectic group      177
Projective unimodular group      168
Quaternion algebra      199
Radical      115
Reflexion      103
Regular element      191
Rotation      103
Semi-linear map      35
Spinorial norm      194
Supplementary space      8
Symmetry      126
Symplectic basis      137
Symplectic geometry      111
Symplectic group      137
Symplectic transvection      138
Trace preserving homomorphism      53
Translation      56
Transvection      160
Two-aided space      14
Unimodular      151
Valuation      47
Weakly ordered field      41

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