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Non-associative algebras appear in some quantum-mechanical systems, for instance if a charged particle in a distribution of magnetic monopoles is considered.
Deformation theory and quantization. i. deformation of symplectic structures
F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer · 1978
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Deformation theory and quantization. ii. physical applications
F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer · 1978
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Moufang plane and octonionic quantum mechanics
M. Günaydin, C. Piron, and H. Ruegg · 1978
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Three-cocycle in mathematics and physics
R. Jackiw · 1985
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Magnetic charge and non-associative algebras
M. Günaydin and B. Zumino · 1986
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Local Quantum Physics
R. Haag · 1992
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Introduction to Octonion and other non-associative algebras in physics
S. Okubo · 1995
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Poisson geometry with a 3-form background
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Non-geometric fluxes, quasi-hopf twist deformations and nonassociative quantum mechanics
D. Mylonas, P. Schupp, and R. J Szabo · 2014
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Testing non-associative quantum mechanics
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States in non-associative quantum mechanics: Uncertainty relations and semiclassical evolution
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Nonassociative weyl star products
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Alternative multiplications and non-associativity in physics
V. G. Kupriyanov · 2016
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Deformation quantization: genesis, developments and metamorphoses
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Non-associativity in non-geometric string and m-theory backgrounds, the algebra of octonions, and missing momentum modes
M. Günaydin, D. Lüst, and E. Malek
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Deformation quantization of poisson manifolds, i
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Alternative multiplications and non-associativity in physics
V. G. Kupriyanov
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Nonassociative geometry and twist deformations in non-geometric string theory
D. Mylonas, P. Schupp, and R. J Szabo
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Topological open p p -branes
J.-S. Park
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