@article{CM_1968__19_3_213_0,
author = {Veldkamp, F. D.},
title = {Unitary groups in projective octave planes},
journal = {Compositio Mathematica},
pages = {213--258},
year = {1968},
publisher = {Wolters-Noordhoff Publishing},
volume = {19},
number = {3},
mrnumber = {236815},
zbl = {0195.50402},
language = {en},
url = {https://www.numdam.org/item/CM_1968__19_3_213_0/}
}
Veldkamp, F. D. Unitary groups in projective octave planes. Compositio Mathematica, Tome 19 (1968) no. 3, pp. 213-258. https://www.numdam.org/item/CM_1968__19_3_213_0/
, [1] Geometric Algebra. Interscience, New York 1957. | Zbl | MR
and , [2] The arithmetics of octaves and of the group G2. Proc. Kon. Ned. Akad. Wet. A, 62(- Indag. Math. 21), 406-418 (1959). | Zbl
[3] Octaves and triality. Nieuw Archief Wisk. (3) 8, 158-169 (1960). | Zbl
und , [4] Jordan-Algebren. Springer, Berlin 1966. | Zbl | MR
, [5] Sur certains groupes simples. Tôhoku Math. J. (2) 7, 14-66 (1955). | Zbl
, [6] La géométrie des groupes classiques. 2e édition. Springer, Berlin 1963. | Zbl | MR
, [7] On Lie algebras of type E6. Dissertation Yale University 1966.
, [8] Oktaven, Ausnahmegruppen und Oktavengeometrie. Utrecht 1951 (Neuauflage 1960). | Zbl | MR
, [9] Composition algebras and their automorphisms. Rend. Circ. Mat. Palermo II, 7, 55-80 (1958). | Zbl | MR
[10] Some groups of transformations defined by Jordan algebras, I, J. reine angew. Math. 201, 178-195 (1959);II, ibid. 204, 74-98 (1960);III, ibid. 207, 61-95 (1961). | Zbl
[11] Lie algebras. Interscience, New York 1962. | Zbl
[12] Triality and Lie algebras of type D4. Rend. Circ. Mat. Palermo II, 13, 129-153 (1964). | Zbl
, [13] Zur Struktur von Alternativkörpern. Math. Ann. 110, 416-430 (1934). | Zbl | JFM
, [14] Sur les groupes de Chevalley. J. Math. Soc. Japan 10, 307-313 (1958). | Zbl
, [15] On automorphisms of Lie algebras of classical type. III. Transactions AMS 97, 286-316 (1960). | Zbl
, [16] Groups of type D4 defined by Jordan algebras. Dissertation Yale University 1964.
[17] Some groups of type D4 defined by Jordan algebras. J. reine angew. Math. 223, 150-163 (1966). | Zbl | MR
, [18] On a class of Jordan algebras. Proc. Kon. Ned. Akad. Wet. A, 62( - Indag. Math. 21), 254-264 (1959). | Zbl
[19] The projective octave plane. Ibid. A, 63(- Indag. Math. 22), 74-101 (1960). | Zbl
[20] The classification of reduced exceptional simple Jordan algebras. Ibid. 414-422 (1960). | Zbl | MR
[21] On the geometric algebra of octave planes. Ibid. A, 65( - Indag. Math. 24), 451-468 (1962). | Zbl
and , [22] Elliptic and hyperbolic octave planes. Ibid. A, 66( - Indag. Math. 25), 413-451 (1963). | Zbl
, [23] Variations on a theme of Chevalley. Pacific J. Math. 9, 875-891 (1959). | Zbl
[24] The simplicity of certain groups. Ibid. 10, 1039-1041 (1960). | Zbl | MR
[25] Automorphisms of classical Lie algebras. Ibid. 11, 1119-1129 (1961). | Zbl | MR
, [26] Le plan projectif des octaves et les groupes de Lie exceptionnels. Ac. Roy. Belg., Bull. Cl. Sci. 39, 309-329 (1953). | Zbl | MR
[27] Le plan projectif des octaves et les groupes exceptionnels E6 et E7. Ibid. 40, 29-40 (1954). | Zbl
[28] Les "formes réelles" des groupes de type E6. Sém. Bourbaki 1957-1958, exposé 162. | Zbl | Numdam
[29] Algebraic and abstract simple groups. Ann. Math. 80, 313-329 (1964). | Zbl | MR
, [30] The Clifford algebra and the group of similitudes. Can. J. Math. 14, 45-59 (1962). | Zbl | MR
[31] Triality principle for semisimilarities. J. of Algebra 1, 335-341 (1964). | Zbl | MR





