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Inhomogeneous completion of non-compact semisimple groups with the maximal compact subgroup as little group

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Abstract

An Abelian set of generatorsT u is adjoined to a semisimple noncompact Lie group, and its metric chosen so as to have a subset of representations withT u T u>0. We study the dimensionality and transformation properties of theT u sub-algebra under the homogeneous part, such that they make its maximal compact subgroup into the stability group (“little group”) for the above representations. The problem is related to the appearance of inhomogeneous non-compact groups in quantum mechanical problems.

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Authors and Affiliations

  1. Tel-Aviv University, Ramat Aviv, Israel

    Y. Ne'eman

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  1. Y. Ne'eman
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Ne'eman, Y. Inhomogeneous completion of non-compact semisimple groups with the maximal compact subgroup as little group. Commun.Math. Phys. 3, 181–186 (1966). https://doi.org/10.1007/BF01645410

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  • DOI: https://doi.org/10.1007/BF01645410

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