Binary operations in classical and quantum mechanics

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dc.creatorGrabowski, Janusz
dc.creatorMarmo, Giuseppe
dc.date2002-01-10
dc.date.accessioned2026-07-07T04:45:47Z
dc.date.available2026-07-07T04:45:47Z
dc.descriptionBinary operations on algebras of observables are studied in the quantum as well as in the classical case. It is shown that certain natural compatibility conditions with the associative product imply the properties which usually are additionally required. In particular, it is proved that locality of a Loday bracket on sections of a one-dimensional vector bundle forces skew-symmetry, i.e. a local Lie algebra structure in the sense of A.A.Kirillov.
dc.description10 pages, conference Classical and Quantum Integrability, Warszawa, 27-30 August, 2001
dc.identifierhttps://arxiv.org/abs/math/0201089
dc.identifierhttp://arxiv.org/abs/math/0201089
dc.identifierin: Classical and Quantum Integrability, J. Grabowski and P. Urbanski (eds.), Banach Center Publ. 59 (2003), 163-172
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63088
dc.subjectDifferential Geometry
dc.subjectOperator Algebras
dc.subject17B65; 81R10 (Primary), 17B63; 37J99; 53D99; 70H99 (Secondary)
dc.titleBinary operations in classical and quantum mechanics
dc.typetext

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