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math.GR2000
Every diassociative A-loop is Moufang
Michael K. Kinyon, Kenneth Kunen, J. D. Phillips
An A-loop is a loop in which every inner mapping is an automorphism. We settle a problem which had been open since 1956 by showing that every diassociative A-loop is Moufang.
math.DG2000★ 1 cited
Leibniz Algebras, Courant Algebroids, and Multiplications on Reductive Homogeneous Spaces
Michael K. Kinyon, Alan Weinstein
We show that the skew-symmetrized product on every Leibniz algebra E can be realized on a reductive complement to a subalgebra in a Lie algebra. As a consequence, we construct a no…