The Freudenthal-Springer-Tits constructions of exceptional Jordan algebras
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- by Kevin McCrimmon
- Trans. Amer. Math. Soc. 139 (1969), 495-510
- DOI: https://doi.org/10.1090/S0002-9947-1969-0238916-9
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References
- Hel Braun and Max Koecher, Jordan-Algebren, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Band 128, Springer-Verlag, Berlin-New York, 1966 (German). MR 0204470, DOI 10.1007/978-3-642-94947-0
- Hans Freudenthal, Beziehungen der $E_7$ und $E_8$ zur Oktavenebene. I, Nederl. Akad. Wetensch. Proc. Ser. A. 57 = Indagationes Math. 16 (1954), 218–230 (German). MR 0063358, DOI 10.1016/S1385-7258(54)50032-6 —, Beziehungen der ${E_7}$ und ${E_8}$ zur Oktavenebene. VIII, Nederl. Akad. Wetensch. Proc. Ser. A 62 (1959), 447-465.
- Nathan Jacobson, Structure and representations of Jordan algebras, American Mathematical Society Colloquium Publications, Vol. XXXIX, American Mathematical Society, Providence, R.I., 1968. MR 0251099, DOI 10.1090/coll/039
- Kevin McCrimmon, A general theory of Jordan rings, Proc. Nat. Acad. Sci. U.S.A. 56 (1966), 1072–1079. MR 202783, DOI 10.1073/pnas.56.4.1072
- Kevin McCrimmon, Generically algebraic algebras, Trans. Amer. Math. Soc. 127 (1967), 527–551. MR 210758, DOI 10.1090/S0002-9947-1967-0210758-8
- K. McCrimmon, Norms and noncommutative Jordan algebras, Pacific J. Math. 15 (1965), 925–956. MR 204477, DOI 10.2140/pjm.1965.15.925
- T. A. Springer, Characterization of a class of cubic forms, Nederl. Akad. Wetensch. Proc. Ser. A 65 = Indag. Math. 24 (1962), 259–265. MR 0138661, DOI 10.1016/S1385-7258(62)50024-3 J. Tits, The complete unpublished works of J. Tits.
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 139 (1969), 495-510
- MSC: Primary 17.40
- DOI: https://doi.org/10.1090/S0002-9947-1969-0238916-9
- MathSciNet review: 0238916