Document Zbl 0282.17009

On maximal subalgebras. (English) Zbl 0282.17009

J. Algebra 30, 155-180 (1974).

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MSC:

17C20	Simple, semisimple Jordan algebras
16S50	Endomorphism rings; matrix rings
17D05	Alternative rings
16W10	Rings with involution; Lie, Jordan and other nonassociative structures
17C10	Structure theory for Jordan algebras
16Kxx	Division rings and semisimple Artin rings

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References:

[1]	Albert, A. A., Structure of Algebras, (Colloquium Publications, Vol. 24 (1939), American Mathematical Society: American Mathematical Society Providence, RI) · Zbl 0029.01003
[2]	van der Blij, F.; Springer, T. A., The arithmetics of octaves and of the group \(G_2\), (Nederl. Akad. Wetensch. Proc. Ser. A, 21 (1959)), 406-418 · Zbl 0089.25803
[3]	Chevalley, C., The Algebraic Theory of Spinors (1954), Columbia Univ. Press: Columbia Univ. Press New York · Zbl 0057.25901
[4]	Dynkin, E., Amer. Math. Soc. Transl., 6, 111-244 (1957) · Zbl 0077.03404
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[10]	McCrimmon, K., A general theory of Jordan rings, (Proc. Nat. Acad. Sci. U.S.A., 59 (1966)), 1072-1079 · Zbl 0139.25502
[11]	McCrimmon, K., The Freudenthal-Springer-Tits constructions of exceptional Jordan algebras, Trans. Amer. Math. Soc., 139, 495-510 (1969) · Zbl 0175.02703
[12]	McCrimmon, K., The Freudenthal-Springer-Tits constructions revisited, Trans. Amer. Math. Soc., 148, 293-314 (1970) · Zbl 0224.17013
[13]	McCrimmon, K., Representations of quadratic Jordan algebras, Trans. Amer. Math. Soc., 153, 279-305 (1971) · Zbl 0226.17008
[14]	McCrimmon, K., Inner ideals in quadratic Jordan algebras, Trans. Amer. Math. Soc., 159, 445-468 (1971) · Zbl 0224.17011
[15]	McCrimmon, K., Solvability and nilpotence for quadratic Jordan algebras, Scripta Math., 29, 467-483 (1973) · Zbl 0288.17011
[16]	Montgomery, M. S., Lie structure of simple rings of characteristic 2, J. Alg., 15, 387-407 (1970) · Zbl 0199.35403
[17]	Racine, M. L., The arithmetics of quadratic Jordan algebras, Mem. Amer. Math. Soc., 136 (1973) · Zbl 0348.17009
[18]	Schafer, R. D., An Introduction to Nonassociative Algebras (1966), Academic Press: Academic Press New York · Zbl 0145.25601

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