Geodesic
Spinors and canonical hermitian forms
Glasgow mathematical journal, Tome 30 (1988) no. 3, pp. 263-270

Voir la notice de l'article provenant de la source Cambridge University Press

The space S of spinors associated to a 2m-dimensional real inner product space (V, B) carries a canonical Hermitian form 〈 〉 determined uniquely up to real multiples. This form arises as follows: the complex Clifford algebra C(V) of (V, B) is naturally provided with an antilinear involution; this induces an involution on End S via the spin representation; this is the adjoint operation corresponding to 〈 〉. 
Robinson, P. L. Spinors and canonical hermitian forms. Glasgow mathematical journal, Tome 30 (1988) no. 3, pp. 263-270. doi: 10.1017/S0017089500007345
@article{10_1017_S0017089500007345,
     author = {Robinson, P. L.},
     title = {Spinors and canonical hermitian forms},
     journal = {Glasgow mathematical journal},
     pages = {263--270},
     year = {1988},
     volume = {30},
     number = {3},
     doi = {10.1017/S0017089500007345},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500007345/}
}
TY  - JOUR
AU  - Robinson, P. L.
TI  - Spinors and canonical hermitian forms
JO  - Glasgow mathematical journal
PY  - 1988
SP  - 263
EP  - 270
VL  - 30
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500007345/
DO  - 10.1017/S0017089500007345
ID  - 10_1017_S0017089500007345
ER  - 
%0 Journal Article
%A Robinson, P. L.
%T Spinors and canonical hermitian forms
%J Glasgow mathematical journal
%D 1988
%P 263-270
%V 30
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500007345/
%R 10.1017/S0017089500007345
%F 10_1017_S0017089500007345

[1] 1.Atiyah, M. F., Bott, R. and Shapiro, A., Clifford modules, Topology 3 (1964), Supplement, 3–38. Google Scholar | DOI

[2] 2.Bourbaki, N., Algèbre, Chapitre 9 (Hermann, 1959). Google Scholar

[3] 3.Chevalley, C., The algebraic theory of spinors (Columbia University Press, 1954). Google Scholar | DOI

[4] 4.Deheuvels, R., Formes quadratiques et groupes classiques (Presses Universitaires de France, 1981). Google Scholar

[5] 5.Greub, W., Multilinear algebra, second edition (Springer-Verlag Universitext, 1978). Google Scholar | DOI

Cité par Sources :