@article{PDML_1986___2D_A1_0,
author = {Brada, Claude},
title = {\'El\'ements de la g\'eom\'etrie des octaves de {Cayley}},
journal = {Publications du D\'epartement de math\'ematiques (Lyon)},
pages = {1--90},
year = {1986},
publisher = {Universit\'e Claude Bernard - Lyon 1},
number = {2D},
mrnumber = {880862},
zbl = {0635.17012},
language = {fr},
url = {https://www.numdam.org/item/PDML_1986___2D_A1_0/}
}
TY - JOUR AU - Brada, Claude TI - Éléments de la géométrie des octaves de Cayley JO - Publications du Département de mathématiques (Lyon) PY - 1986 SP - 1 EP - 90 IS - 2D PB - Université Claude Bernard - Lyon 1 UR - https://www.numdam.org/item/PDML_1986___2D_A1_0/ LA - fr ID - PDML_1986___2D_A1_0 ER -
Brada, Claude. Éléments de la géométrie des octaves de Cayley. Publications du Département de mathématiques (Lyon), Eléments de la géométrie des octaves de Cayley, no. 2D (1986), pp. 1-90. https://www.numdam.org/item/PDML_1986___2D_A1_0/
[AE] : Über nicht-Desarguessche Ebenen mit transitiver Translations gruppe. Math. Zeitschr. Bd. 60, p. 156-186 (1954). | Zbl | MR
[BE] : Manifolds all of whose geodesics are closed. Springer Verlag n°93 (1978). | Zbl | MR
[B-G] , : Riemannian manifolds with holonomy group Spin(9). Diff. geom., in honor of K. Yano, Kinokuniya, Tokyo, 1972, p. 41-59. | Zbl | MR
[BL] : Le plan projectif des octaves et les sphères comme espaces homogènes, C.R.A.S. 230 (1950), 1378-1380. | Zbl | MR
[BN] : On generalized Cayley-Dickson algebras, Pacific jour. of Math. vol. 20 n°3, p. 415-422 (1967). | Zbl | MR
[BR] : Géométrie (5 volumes). Paris: CEDIC - Nathan (1976).
[CN] : Sur certaines formes riemanniennes remarquables des géométries à groupe fondamentale simple. Ann. Ecole Norm. Sup. 44, 345-467 (1927). | MR | JFM | Numdam
[C-S] , : The exceptional simple Lie algebras F4 and E6. Proc. Nat. Acad. Sci. U.S.A. 36, 137-141 (1950). | Zbl | MR
[CY] : Theory of Lie groups (2 vol.) Princeton Univ. Press 1946. | Zbl
[FL] : 1. Oktaven, Ausnahmegruppen und Oktavengeometrie. Math. Inst. der Rijks-universiteit, Utrecht, 1951 (mimeographed); new revised edition, 1960. | Zbl | MR
[FL] : 2. Zur ebenen Oktavengeometrie, Proc. Koninkl. Ned. Akad. Wetenschap. A 56 (1953), 195-200. | Zbl | MR
[FL] : 3. Lie groups in the foundations of geometry. Advan. Math. 1, 145-190 (1965) | Zbl | MR
[G-P-R] , , : Moufang Plane and Octonionic Quantum Mechanics. Commun. Math. Phys. 61, 69-85 (1978). | Zbl | MR
[HF] : Ueber die Abbildungen von Sphären auf Sphären niedrigerer Dimensionen, Fund. Math., 25, 1935, p. 427-440. | Zbl | JFM
[HH] : La géométrie projective et la topologie des espaces fibrés, Colloq. Intern. C.N.R.S. n°12 (1949), 35-42. | Zbl | MR
[HL] : The theory of groups. New York : Mac Millan 1959. | Zbl | MR
[HN] : Differential geometry and Symmetric Spaces. Pure and appl. Math. New York : Academic Press 1962. | Zbl | MR
[JN] : 1. Cayley numbers and normal simple Lie algebras of type G, Duke Math. J. 5, 775-783 (1939). | MR | JFM
[JN] : 2. Composition algebras and their automorphisms, Rend. Circ. Math. Palermo (2) 7, 55-80 (1958). | Zbl | MR
[JN] : 3 Some groups of transformations defined by Jordan algebras,. I: J. Reine Angew. Math. 201, 178-195 (1959); | Zbl | MR
[JN] : 3 Some groups of transformations defined by Jordan algebras,. II. J. Reine Angew. Math. 204, 74-98 (1960); | Zbl | MR
[JN] : 3 Some groups of transformations defined by Jordan algebras,.III J. Reine Angew. Math. 207, 61-85 (1961). | Zbl | MR
[K-N] , : Foundations of Differential Geometry (2 vol.) New York : Interscience Publishers 1963 | Zbl | MR
[MG] : Alternativekörper und der Satz vom Vollständigen Vierseit. Abhandl. Math. Univ. Hamburg, 9, 207-222 (1933). | Zbl | MR | JFM
[SC] : 1. An introduction to Non associative Algebras. Pure and applied Math. New York : Academic Press 1966. | Zbl | MR
[SC] : 2. On the algebras formed by the Cayley-Dickson process, Amer. J. Math. 76, 435-446 (1954). | Zbl | MR
[ST] : The topology of fibre bundles, Princeton Univ. Press, 1951. | Zbl | MR
[SN] : Notes on Lie algebras. Van Nostrand, New York 1969. | Zbl | MR
[SP] : The projective Octave plane. Indag. Math. 22, 74-100 (1960) | Zbl | MR
[TS] : 1. Le plan projectif des octaves et les groupes de Lie exceptionnels. Bull. Acad. Roy. Belgique 39, 309-329 (1953). | Zbl | MR
[TS] : 2. Le plan projectif des octaves et les groupes exceptionnels E6 et E7. Bull. Acad. Roy. Belgique 40, 29-40 (1954). | Zbl | MR





