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Showing 1 to 1 of 1 for “"Non-Associative Algebras"”.
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The Koszul dual to n-Lie, n-Com algebras, and Young tableaux
We study the operad $n\text{-}Lie_d$, whose algebras are $n$-Lie algebras, which was first introduced in Nambu mechanics to extend Hamiltonian mechanics to more than one Hamiltonian. We find the Koszul dual of $n\text{-}Lie_{-d+n-2}$ to be the operad $n\text{-}Com_d$, whose relations come from the …