Abstract

A duplicated Malcev algebra is constructed from a Malcev algebra M and a nonassociative algebra N by using a representation of M into N and an alternative bilinear mapping of N into M satisfying some conditions. It is shown that the representations of alternative algebra A, Malcev algebra M, Lie triple system T induce the representations of duplicated alternative algebra A ⊕ A, Malcev algebra M ⊕ M, Lie triple system T⊕T respectively.

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