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Admissible algebra

From Wikipedia, the free encyclopedia

In mathematics, an admissible algebra is a (possibly non-associative) commutative algebra whose enveloping Lie algebra of derivations splits into the sum of an even and an odd part. Admissible algebras were introduced by Koecher (1967).

References

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  • Koecher, Max (1967), "Imbedding of Jordan algebras into Lie algebras. I", Amer. J. Math., 89: 787–816, doi:10.2307/2373242, JSTOR 2373242, MR 0214631