Geometrical interpretation of Inönü-Wigner contractions

Lord, EA (1985) Geometrical interpretation of Inönü-Wigner contractions. In: International Journal of Theoretical Physics, 24 (7). pp. 723-730.

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Abstract

The Inönü-Wigner contractions which interrelate the Lie algebras of the isometry groups of metric spaces are discussed with reference to deformations of the absolutes of the spaces. A general formula is derived for the Lie algebra commutation relations of the isometry group for anyN-dimensional metric space. These ideas are illustrated by a discussion of important particular cases, which interrelate the four-dimensional de Sitter, Poincaré, and Galilean groups.

Item Type:	Journal Article
Publication:	International Journal of Theoretical Physics
Publisher:	Springer
Additional Information:	copyright of this article belongs to Springer.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	21 Jan 2010 07:21
Last Modified:	19 Sep 2010 05:44
URI:	http://eprints.iisc.ac.in/id/eprint/23047

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