Weakly associative and symmetric Leibniz algebras

2020/08/02 by Remm, Elisabeth
#17B63 #17Dxx #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2008.00560

Abstract

We study a special class of weakly associative algebras: the symmetric Leibniz algebras. We describe the structure of the commutative and skew symmetric algebras associated with the polarization-depolarization principle. We also give a structure theorem for the symmetric Leibniz algebras and we study formal deformations in the context of deformation quantization.

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