Galilei invariant theories: I. Constructions of indecomposable finite-dimensional representations of the homogeneous Galilei group: directly and via contractions

DOI10.1088/0305-4470/39/29/026zbMath1101.81063arXivmath-ph/0604002OpenAlexW3103533238MaRDI QIDQ5484440

Jiří Niederle, Marc de Montigny, Anatolia G. Nikitin

Publication date: 17 August 2006

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

Full work available at URL: https://arxiv.org/abs/math-ph/0604002

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) General mathematical topics and methods in quantum theory (81Qxx)

Related Items (9)

Contractions of low-dimensional Lie algebras ⋮ Fields and fluids on curved non-relativistic spacetimes ⋮ Construction and classification of indecomposable finite-dimensional representations of the homogeneous Galilei group ⋮ On S-expansions and other transformations of Lie algebras ⋮ Non-relativistic Bondi–Metzner–Sachs algebra ⋮ Dirac oscillator in a Galilean covariant non-commutative space ⋮ Physical stress, mass, and energy for non-relativistic matter ⋮ Construction of a few quantum mechanical Hamiltonians via Lévy-Leblond type linearization: Clifford momentum, spinor states and supersymmetry ⋮ Kinematical superalgebras and Lie algebras of order 3

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