Exponential formulas and Lie algebra type star products

DOI10.3842/SIGMA.2012.013zbMath1248.81092arXiv1006.0478WikidataQ115219663 ScholiaQ115219663MaRDI QIDQ431452

Zoran Škoda, Dragutin Svrtan, Stjepan Meljanac

Publication date: 26 June 2012

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0478

zbMATH Keywords

star productexponential expressionformal differential operator

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Noncommutative geometry in quantum theory (81R60) Methods of noncommutative geometry in general relativity (83C65) Rings of differential operators (associative algebraic aspects) (16S32) Universal enveloping algebras of Lie algebras (16S30)

Related Items (10)

Deformed quantum phase spaces, realizations, star products and twists ⋮ Quantum field theory in generalised Snyder spaces ⋮ Exponential formulas, normal ordering and the Weyl-Heisenberg algebra ⋮ Remarks on simple interpolation between Jordanian twists ⋮ Generalized Heisenberg algebra applied to realizations of the orthogonal, Lorentz, and Poincaré algebras and their dual extensions ⋮ Hopf algebroid twists for deformation quantization of linear Poisson structures ⋮ Noncommutative spaces and Poincaré symmetry ⋮ The Weyl realizations of Lie algebras, and left–right duality ⋮ Interpolations between Jordanian twists induced by coboundary twists ⋮ Geometrizing the Klein–Gordon and Dirac equations in doubly special relativity

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