“Admissible algebra”的意思、由来-开放百科全书

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Admissible algebra

释义

References

{{for| a (possibly non-associative) algebra such that the product ab – ba or ab + ba satisfies a certain identity|Jordan-admissible algebra|Lie-admissible algebra|Malcev-admissible algebra}}{{Orphan|date=November 2016}}

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 {{harvs|txt|last=Koecher|year=1967}}.

References

{{citation|mr=0214631|last=Koecher|first= Max

|title=Imbedding of Jordan algebras into Lie algebras. I
|journal=Amer. J. Math.|volume= 89 |year=1967|pages= 787–816|jstor=2373242|doi=10.2307/2373242}}

1 : Non-associative algebra

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