Deformation quantization of non associative algebras

2020/05/25 by Remm, Elisabeth
#17Dxx 53D55 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2005.12430

Abstract

We study deformation quantization of nonassociative algebras whose associator satisfies some symmetric relations. This study is expanded to a larger class of nonassociative algebras includind Leibniz algebras. We apply also to this class the rule of polarization-depolarization.

Related

• Deformation quantization of nonassociative algebras
• Weakly associative and symmetric Leibniz algebras
• Anti-associative algebras
• Deformation Quantization: Observable Algebras, States and Representation Theory
• The Deformation Quantization of \Realⁿ via the specifiaction of the commutators