The Freudenthal-Springer-Tits constructions revisited

The Freudenthal-Springer-Tits constructions revisited
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Trans. Amer. Math. Soc. 148 (1970), 293-314

DOI: https://doi.org/10.1090/S0002-9947-1970-0271181-3

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References

Nathan Jacobson, Structure and representations of Jordan algebras, American Mathematical Society Colloquium Publications, Vol. XXXIX, American Mathematical Society, Providence, R.I., 1968. MR 0251099
N. Jacobson, Associative algebras with involution and Jordan algebras, Nederl. Akad. Wetensch. Proc. Ser. A 69 = Indag. Math. 28 (1966), 202–212. MR 0197521
Kevin McCrimmon, The Freudenthal-Springer-Tits constructions of exceptional Jordan algebras, Trans. Amer. Math. Soc. 139 (1969), 495–510. MR 238916, DOI 10.1090/S0002-9947-1969-0238916-9
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
Kevin McCrimmon, Jordan algebras with interconnected idempotents, Proc. Amer. Math. Soc. 19 (1968), 1327–1336. MR 231875, DOI 10.1090/S0002-9939-1968-0231875-9

Macdonald’s theorem for quadratic Jordan algebras

Kevin McCrimmon, A proof of Schafer’s conjecture for infinite-dimensional forms admitting composition, J. Algebra 5 (1967), 72–83. MR 204478, DOI 10.1016/0021-8693(67)90026-9
Kevin McCrimmon, The radical of a Jordan algebra, Proc. Nat. Acad. Sci. U.S.A. 62 (1969), 671–678. MR 268238, DOI 10.1073/pnas.62.3.671
Nathan Jacobson, Lie algebras, Interscience Tracts in Pure and Applied Mathematics, No. 10, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0143793

Lectures in abstract algebra

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