Leibniz algebra
id:
leibniz-algebra-300-18295576
title:
Leibniz algebra
text:
In mathematics, a (right) Leibniz algebra, named after Gottfried Wilhelm Leibniz, sometimes called a Loday algebra, after Jean-Louis Loday, is a module L over a commutative ring R with a bilinear product [ _, _ ] satisfying the Leibniz identity In other words, right multiplication by any element c is a derivation. If in addition the bracket is alternating ([a, a] = 0) then the Leibniz algebra is a Lie algebra. Indeed, in this case [a, b] = −[b, a] and the Leibniz identity is equivalent to Jacobi
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https://en.wikipedia.org/wiki/Leibniz_algebra
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2024-04-10T14:01:28Z
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