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Simple sagle algebras |
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| Authors: | V T Filippov |
| Institution: | (1) Institute of Mathematics, Siberian Division of the Russian Academy of Sciences, Novosibirsk |
| Abstract: | It is proved that ifS is a simple finite-dimensional anticommutative algebra over a field ϕ of characteristic zero satisfying the identityJ(x, y, z)t=J(t, z, xy)+J(t, y, zx)+J(t, x,yz), whereJ(x, y, z)=(xy)z+(zx)y+(yz)x, thenS is a Lie algebra. Translated fromMatematicheskie Zametki, Vol. 65, No. 4, pp. 607–611, April, 1999. |
| Keywords: | anticommutative algebra Lie algebra Sagle algebra |
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