Identities for deformation quantizations of almost Poisson algebras

Autor:	Dotsenko, Vladimir
Rok vydání:	2023
Předmět:	Mathematics - Quantum Algebra High Energy Physics - Theory Mathematical Physics Mathematics - Category Theory
Druh dokumentu:	Working Paper
Popis:	We propose an algebraic viewpoint of the problem of deformation quantization of the so called almost Poisson algebras, which are algebras with a commutative associative product and an antisymmetric bracket which is a bi-derivation but does not necessarily satisfy the Jacobi identity. From that viewpoint, the main result of the paper asserts that, by contrast with Poisson algebras, the only reasonable category of algebras in which almost Poisson algebras can be quantized is isomorphic to the category of almost Poisson algebras itself, and the trivial two-term quantization formula already gives a solution to the quantization problem. Comment: 11 pages, comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.08351 Zobrazit plný text záznamu View this record from Arxiv