@article{PDML_1977__14_3_59_0, author = {Tillier, A.}, title = {Quelques applications g\'eom\'etriques des alg\`ebres de {Jordan}}, journal = {Publications du D\'epartement de math\'ematiques (Lyon)}, pages = {59--132}, publisher = {Universit\'e Claude Bernard - Lyon 1}, volume = {14}, number = {3}, year = {1977}, mrnumber = {521635}, zbl = {0407.17009}, language = {fr}, url = {http://archive.numdam.org/item/PDML_1977__14_3_59_0/} }
TY - JOUR AU - Tillier, A. TI - Quelques applications géométriques des algèbres de Jordan JO - Publications du Département de mathématiques (Lyon) PY - 1977 SP - 59 EP - 132 VL - 14 IS - 3 PB - Université Claude Bernard - Lyon 1 UR - http://archive.numdam.org/item/PDML_1977__14_3_59_0/ LA - fr ID - PDML_1977__14_3_59_0 ER -
%0 Journal Article %A Tillier, A. %T Quelques applications géométriques des algèbres de Jordan %J Publications du Département de mathématiques (Lyon) %D 1977 %P 59-132 %V 14 %N 3 %I Université Claude Bernard - Lyon 1 %U http://archive.numdam.org/item/PDML_1977__14_3_59_0/ %G fr %F PDML_1977__14_3_59_0
Tillier, A. Quelques applications géométriques des algèbres de Jordan. Publications du Département de mathématiques (Lyon), Volume 14 (1977) no. 3, pp. 59-132. http://archive.numdam.org/item/PDML_1977__14_3_59_0/
[1] Algèbre, Chap. IX, Hermann (1959).
,[2] Symmetric Spaces, Marcel Dekker, Inc. (1972). | MR | Zbl
,[3] Jordan-Algebren, Springer-Verlag (1966). | MR | Zbl
und ,[4] Differential geometry and Symmetric Spaces, Academic Press (1962). | MR | Zbl
,[5] Jordan-Algebren und kompakte symmetrische Räume I, Math. Z., 115, p. 315-349 (1970). | MR | Zbl
,[6] Über Jordan-Algebren und kompakte symmetrische Räume wom Rang 1, Math. Z., 90, p. 339-354 (1965). | MR | Zbl
,[7] Classification and representation of semi-simple Jordan algebras, Trans. Amer. Math. Soc. 65, p. 141-169 (1949). | MR | Zbl
and ,[8] General representation theory of Jordan algebras, Trans. Amer. Math. Soc., 70, p. 509-530 (1951). | MR | Zbl
,[9] Reelle Jordan algebren mit endlicher Spur, manuscripta math. 13, p. 237-273 (1974). | MR | Zbl
,[10] Die Struktur endlicher schwach abgeschlossener Jordan-algebren, manuscripta math. 16, p. 277-332 (1975). | MR | Zbl
,[11] Über eine Klasse nicht-associative ring, Nachr. Ges. Wiss. Göttingen, p. 569-575 (1932). | JFM | Zbl
,[12] Über Verallgemeinerungsmöglichkeiten des Formalismus der Quantenmechanik, Nachr. Ges. Wiss. Göttingen, p. 209-214 (1933). | JFM | Zbl
,[13] Positivitätsbereiche im Rn, Amer. J. Math. 79, p. 575-596 (1957). | MR | Zbl
,[14] Analysis in reellen Jordan-Algebren, Nachr. Akad. Wiss. Göttingen, Math. - Phys., KL. II a, p. 67-74 (1958). | MR | Zbl
,[15] Die Geodätischen von Positivitätsbereichen, Math. Annalen, Bd. 135, p. 192-202 (1958). | MR | Zbl
,[16] Jordan algebras and their applications, Lectures Notes, U. of Minnesota, Minneapolis (1962). | Zbl
,[17] Jordan algebras and differential geometry, Actes, Congrès intern. Math., 1970, Tome 1, p. 279-283. | MR | Zbl
,[18] Symmetric Spaces I : General Theory, II : Compact Spaces and Classification, Benjamin (1969). | MR | Zbl
,[19] Jordan algebraswith three generators, Proc. London Math. Soc. 10, p. 395-408, (1960). | MR | Zbl
,[20] Quadratics methods in Non associative algebras, Proc. Int. Congress of Math., 1974, Tome 1, p. 325-330.
,[21] Convex Analysis, Princeton University Press (1969). | MR | Zbl
,[22] Géométrie et relativité, Hermann, Paris (1964). | MR | Zbl
,[23] Sur les idempotents primitifs d'une algèbre de Jordan formelle-réelle, CR. Acad. Sc. Paris, t. 280, p. A767 - A769 (1975). | MR | Zbl
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