Generalized Heisenberg algebra applied to realizations of the orthogonal, Lorentz, and Poincaré algebras and their dual extensions

DOI10.1063/5.0006184zbMath1443.81044arXiv2003.02726OpenAlexW3010573781MaRDI QIDQ3298939

Tea Martinić-Bilać, Saša Krešić-Jurić, Stjepan Meljanac

Publication date: 16 July 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.02726

Mathematics Subject Classification ID

Structure and representation of the Lorentz group (22E43) Noncommutative geometry in quantum theory (81R60) Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Appell, Horn and Lauricella functions (33C65) Formal methods and deformations in algebraic geometry (14D15)

Related Items (6)

Symmetric ordering and Weyl realizations for quantum Minkowski spaces ⋮ Generalized Heisenberg algebra, realizations of the \(\mathfrak{gl}(N)\) algebra and applications ⋮ Realizations of the extended Snyder model ⋮ Fermi equation of state with finite temperature corrections in quantum space-times approach: Snyder model vs GUP case ⋮ Hermitian realizations of the Yang model ⋮ Unification of \(\kappa\)-Minkowski and extended Snyder spaces

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