Linear fractional maps and Jordan algebras
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- by Kym S. Watson PDF
- Proc. Amer. Math. Soc. 74 (1979), 35-38 Request permission
Abstract:
Jordan algebras are characterized from amongst the finite dimensional commutative algebras without the use of identities. This is achieved by investigating the properties of the linear fractional transformations generated by the quasi-inversion and all translations.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
- I. L. Kantor, Transitive differential groups and invariant connections in homogeneous spaces, Trudy Sem. Vektor. Tenzor. Anal. 13 (1966), 310–398 (Russian). MR 0217223
- Max Koecher, On homogeneous algebras, Bull. Amer. Math. Soc. 72 (1966), 347–357. MR 214629, DOI 10.1090/S0002-9904-1966-11480-5
- Max Koecher, Gruppen und Lie-Algebren von rationalen Funktionen, Math. Z. 109 (1969), 349–392 (German). MR 251092, DOI 10.1007/BF01110558
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 74 (1979), 35-38
- MSC: Primary 17C99
- DOI: https://doi.org/10.1090/S0002-9939-1979-0521869-5
- MathSciNet review: 521869