Construction and classification of indecomposable finite-dimensional representations of the homogeneous Galilei group

Author： Niederle J.  

Publisher： Springer Publishing Company

ISSN： 0011-4626

Source： Czechoslovak Journal of Physics, Vol.56, Iss.10-11, 2006-11, pp. : 1243-1250

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Abstract

We discuss finite-dimensional representations of the homogeneous Galilei group which, when restricted to its subgroup SO(3), are decomposed to spin 0, 1/2 and 1 representations. In particular we explain how these representations were obtained in our paper (M. de Montigny et al.: J. Phys. A 39 (2006) 9365) via reduction of the classification problem to a matrix one admitting exact solutions, and via contraction of the corresponding representations of the Lorentz group. Finally, for discussed representations we derive all functional invariants.

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