Chevalley C. — The Construction and Study of Certain Important Algebras :: Электронная библиотека попечительского совета мехмата МГУ

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Chevalley C. — The Construction and Study of Certain Important Algebras

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Название: The Construction and Study of Certain Important Algebras

Автор: Chevalley C.

Аннотация:

The foregoing is the reproduction of the beautiful lectures delivered by Professor C. Chevalley at the University of Tokyo in April- June 1954, after the notes taken by S. Hitotumatu and N. Yoneda. S. Fukutomi has prepared the manuscript for prating, and all three have read the proofs.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1955

Количество страниц: 64

Добавлена в каталог: 18.11.2009

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Предметный указатель

$\Gamma$ -graded algebra      3
$\phi$ -derivation      9
Algebra      vi
Associated gradation      7
Associated semi-graded algebra      7
Bilinear form (associated to a quadratic form)      33
Boundary operation      62
Canonical anti-automorphism      42
Clifford algebra      33 34
Clifford group      46
Commutative diagram      12
Component      4
D-part of spinor      50
Decomposable      51
Derivation      9 13
Determinant (of an endomorphism)      57
Diagram      12
Dual space      58
Exponential mapping      52 56
Exterior algebra      35
Free algebra      1
Free system of generators      1
GENERATED      5
Generators, set of      vi
Graded algebra      3 4
h-linear mapping      21 27
Half spin representation      49
Homogeneous element      4
Homogeneous linear mapping      6
Homogeneous subalgebra      5
Homomorphism (of $\Gamma$ -graded algebras)      4
Ideal, two sided      vi

Index (of a quadratic form)      48
Length (of a finite sequence of elements)      1
Main anti-automorphism      42
Main involution      8
Module      vi
Multilinear mapping      21
Non-degenerate (bilinear form)      46
Orthogonal automorphism      46
Orthogonal elements      33
Orthogonal group      46
Orthogonal transformation      46
Pfaffian      56
Pliicker coordinates      52
Quadratic form      33
Reduced Clifford group      47
Reduced orthogonal group      47
scalar      vi
Scalar multiple      vi
Semi-graded algebra      5
Set of generators      vi
simplex      62
so      60
Spin representation      48
Spinor      48 49
Tensor algebra      17
Tensor product      23 27 30
Tensor representation      26
Totally singular (linear subspace)      48
Trace      45
UNIT      vi
Universal      2
Vector representation      47

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