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- Title
Nearly associative deformation quantization.
- Authors
Vassilevich, Dmitri; Oliveira, Fernando Martins Costa
- Abstract
We study several classes of non-associative algebras as possible candidates for deformation quantization in the direction of a Poisson bracket that does not satisfy Jacobi identities. We show that in fact alternative deformation quantization algebras require the Jacobi identities on the Poisson bracket and, under very general assumptions, are associative. At the same time, flexible deformation quantization algebras exist for any Poisson bracket.
- Subjects
NONASSOCIATIVE algebras; GEOMETRIC quantization; DEFORMATIONS of singularities; POISSON brackets; JACOBI identity
- Publication
Letters in Mathematical Physics, 2018, Vol 108, Issue 10, p2293
- ISSN
0377-9017
- Publication type
Article
- DOI
10.1007/s11005-018-1080-1