Quelques applications géométriques des algèbres de Jordan

A. Tillier

Publications du Département de mathématiques (Lyon) (1977)

  • Volume: 14, Issue: 3, page 59-132
  • ISSN: 0076-1656

How to cite

top

Tillier, A.. "Quelques applications géométriques des algèbres de Jordan." Publications du Département de mathématiques (Lyon) 14.3 (1977): 59-132. <http://eudml.org/doc/273502>.

@article{Tillier1977,
author = {Tillier, A.},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {Associative Algebra; Jordan Algebra; Group of Transvections; Pseudo- Riemann Symmetric Manifold},
language = {fre},
number = {3},
pages = {59-132},
publisher = {Université Claude Bernard - Lyon 1},
title = {Quelques applications géométriques des algèbres de Jordan},
url = {http://eudml.org/doc/273502},
volume = {14},
year = {1977},
}

TY - JOUR
AU - Tillier, A.
TI - Quelques applications géométriques des algèbres de Jordan
JO - Publications du Département de mathématiques (Lyon)
PY - 1977
PB - Université Claude Bernard - Lyon 1
VL - 14
IS - 3
SP - 59
EP - 132
LA - fre
KW - Associative Algebra; Jordan Algebra; Group of Transvections; Pseudo- Riemann Symmetric Manifold
UR - http://eudml.org/doc/273502
ER -

References

top
  1. [1] Bourbaki N., Algèbre, Chap. IX, Hermann (1959). 
  2. [2] Boothby W.M., Symmetric Spaces, Marcel Dekker, Inc. (1972). Zbl0226.00014MR396827
  3. [3] Braun H. und Koecher M., Jordan-Algebren, Springer-Verlag (1966). Zbl0145.26001MR204470
  4. [4] Helgason S., Differential geometry and Symmetric Spaces, Academic Press (1962). Zbl0111.18101MR145455
  5. [5] Helwig K.H., Jordan-Algebren und kompakte symmetrische Räume I, Math. Z., 115, p. 315-349 (1970). Zbl0185.49701MR268237
  6. [6] Hirzebruch U., Über Jordan-Algebren und kompakte symmetrische Räume wom Rang 1, Math. Z., 90, p. 339-354 (1965). Zbl0139.39202MR188944
  7. [7] Jacobson F.D. and Jacobson N., Classification and representation of semi-simple Jordan algebras, Trans. Amer. Math. Soc.65, p. 141-169 (1949). Zbl0034.16902MR29367
  8. [8] Jacobson N., General representation theory of Jordan algebras, Trans. Amer. Math. Soc., 70, p. 509-530 (1951). Zbl0044.02503MR41118
  9. [9] Janssen G., Reelle Jordan algebren mit endlicher Spur, manuscripta math.13, p. 237-273 (1974). Zbl0291.17011MR357523
  10. [10] Janssen G., Die Struktur endlicher schwach abgeschlossener Jordan-algebren, manuscripta math.16, p. 277-332 (1975). Zbl0318.17013MR377538
  11. [11] Jordan P., Über eine Klasse nicht-associative ring, Nachr. Ges. Wiss. Göttingen, p. 569-575 (1932). Zbl0006.15101JFM58.0135.02
  12. [12] Jordan P., Über Verallgemeinerungsmöglichkeiten des Formalismus der Quantenmechanik, Nachr. Ges. Wiss. Göttingen, p. 209-214 (1933). Zbl0007.08502JFM59.0796.02
  13. [13] Koecher M., Positivitätsbereiche im Rn, Amer. J. Math.79, p. 575-596 (1957). Zbl0078.01205MR90771
  14. [14] Koecher M., Analysis in reellen Jordan-Algebren, Nachr. Akad. Wiss. Göttingen, Math. - Phys., KL. IIa, p. 67-74 (1958). Zbl0083.02701MR97431
  15. [15] Koecher M., Die Geodätischen von Positivitätsbereichen, Math. Annalen, Bd. 135, p. 192-202 (1958). Zbl0083.07202MR103987
  16. [16] Koecher M., Jordan algebras and their applications, Lectures Notes, U. of Minnesota, Minneapolis (1962). Zbl0128.03101
  17. [17] Koecher M., Jordan algebras and differential geometry, Actes, Congrès intern. Math., 1970, Tome 1, p. 279-283. Zbl0229.17009MR430013
  18. [18] Loos O., Symmetric Spaces I : General Theory, II : Compact Spaces and Classification, Benjamin (1969). Zbl0175.48601MR239005
  19. [19] Mac Donald I.G., Jordan algebraswith three generators, Proc. London Math. Soc.10, p. 395-408, (1960). Zbl0094.25003MR126473
  20. [20] Mac Grimmon K., Quadratics methods in Non associative algebras, Proc. Int. Congress of Math., 1974, Tome 1, p. 325-330. 
  21. [21] Rockafellar R.T., Convex Analysis, Princeton University Press (1969). Zbl0932.90001MR1451876
  22. [22] Souriau J.M., Géométrie et relativité, Hermann, Paris (1964). Zbl0117.22204MR172679
  23. [23] Tillier A., Sur les idempotents primitifs d'une algèbre de Jordan formelle-réelle, CR. Acad. Sc.Paris, t. 280, p. A767 - A769 (1975). Zbl0299.17006MR367005

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.