Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Chevalley C. — Algebraic Theory of Spinors and Clifford Algebras: Collected Works of Claude Chevalley
Chevalley C. — Algebraic Theory of Spinors and Clifford Algebras: Collected Works of Claude Chevalley



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Algebraic Theory of Spinors and Clifford Algebras: Collected Works of Claude Chevalley

Автор: Chevalley C.

Аннотация:

This volume is the first in a projected series devoted to the mathematical and philosophical works of the late Claude Chevalley. It covers the main contributions by the author to the theory of spinors. Since its appearance in 1954, "The Algebraic Theory of Spinors" has been a much sought after reference. It presents the whole story of one subject in a concise and especially clear manner. The reprint of the book is supplemented by a series of lectures on Clifford Algebras given by the author in Japan at about the same time. Also included is a postface by J.-P. Bourguignon describing the many uses of spinors in differential geometry developed by mathematical physicists from the 1970s to the present day. An insightful review of "Spinors" by J. Dieudonne is also made available to the reader in this new edition.


Язык: en

Рубрика: Математика/Алгебра/Теория представлений/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1996

Количество страниц: 240

Добавлена в каталог: 26.03.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
$\Gamma$-graded algebra      7
$\varphi$-derivation      13
Absolutely simple      69
Algebra      4 69
Alternating (bilinear form)      74
Associated bilinear form (to a quadratic form)      35 75
Associated gradation      11
Associated linear mappings (to a bilinear form)      72
Associated semi-graded algebra      11
Bilinear form      72
Bilinear form (associated to a quadratic form)      35 75
Boundary operation      62
Canonical anti-automorphism      44
Clifford algebra      35 36 101
Clifford group      48 113
Commutative diagram      15
Component      8
Conjugate octonion      124
Conjugate spaces      72 74
Contragredient      86
Decomposable      52 70
Defect      76
Derivation      13
Determinant (of an endomorphism)      58
Diagram      15
Discriminant      73
Dual space      59
Equivalent (quadratic forms)      76
Even (element of a Clifford algebra)      101
Even (maximal totally singular space)      137
Even half-spinors      135
Exponential mapping      53 57 137
Exterior algebra      37
Free algebra      6
Free system of generators      6
GENERATED      9 69
Graded algebra      7
h-linear mapping      24 29 120
Half spin representation      50 120
Half-spinors      135
Homogeneous      70
Homogeneous elements      8
Homogeneous linear mapping      10
Homogeneous submodule      9
Homomorphism      69
Homomorphism (of $\Gamma$-graded algebras)      8
Hurwitz (theorem of)      127
Ideal, two-sided      4
Index (of a quadratic form)      49 82
Inertia (law of)      129
Isotropic      74 75
Length (of a finite sequence of elements)      5
Main anti-automorphism      44
Main involution      12
Main involution (of a Clifford algebra)      101
Matrix (of a bilinear form)      73
Module      4
Multilinear mapping      29
Non-degenerate (bilinear form)      48 72
Norm      116
Norm homomorphism      116
Octonions      188
Odd (element of a Clifford algebra)      101
Odd (maximal totally singular space)      137
Odd half-spinors      135
Orthogonal automorphism      48
Orthogonal base      42 77
Orthogonal elements      35 77
Orthogonal group      48 77
Orthogonal transformation      48
Plane rotation      93
Plikker coordinates      53
Praffian      57
Pure spinors      136 172
Q-isomorphism      79
Quadratic form      35
Rank (of a bilinear form)      73
Rank (of a quadratic form)      76
Reduced Clifford group      49
Reduced orthogonal group      49
Representation      69
Representation on the h-covectors      86
Representation on the h-vectors      86
Representative spinor      136 172
Rotation      115
scalar      4
Scalar multiple      4
Scalar multiplication      4
Semi-graded algebra      8
Semi-simple      69
Set of generators      4
SIMPLE      69
simplex      62
singular      75
Special Clifford group      115
Special orthogonal group      115
Spin representation      50 119
Spinor      50 119
Sum (of representations)      69
Symmetric bilinear form      74
Symmetry      83
Tensor algebra      20
Tensor product      25 29 32
Tensor representation      28
Totally isotropic      74 75
Totally singular (linear space)      49 75
Trace      47
Trace (of an octonion)      191
Triality (principle of)      181
UNIT      4
Universal      6
Vector representation      48 113
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2020
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте