Koecher’s principle for quadratic Jordan algebras
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- by Kevin McCrimmon PDF
- Proc. Amer. Math. Soc. 28 (1971), 39-43 Request permission
Abstract:
In this note we indicate two techniques for establishing identities in quadratic Jordan algebras. The first method, due to Professor M. Koecher, shows that to establish an identity in general it suffices to establish it when all the elements involved are invertible. The second technique involves interpreting a given identity in a Jordan algebra as a simpler identity in a homotope of that algebra. These two techniques are applied to derive some important identities.References
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- Robert E. Lewand and Kevin McCrimmon, Macdonald’s theorem for quadratic Jordan algebras, Pacific J. Math. 35 (1970), 681–706. MR 299648, DOI 10.2140/pjm.1970.35.681
- Kevin McCrimmon, A characterization of the radical of a Jordan algebra, J. Algebra 18 (1971), 103–111. MR 277583, DOI 10.1016/0021-8693(71)90129-3
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 39-43
- MSC: Primary 17C05
- DOI: https://doi.org/10.1090/S0002-9939-1971-0299649-0
- MathSciNet review: 0299649