Poincaré representations of the massless class
type: Item
instance of: scholarly article
title: Poincaré representations of the massless class
zbMATH Open document ID: 0799.22012
DOI: 10.1016/0034-4877(93)90018-A
author: R. Mirman
published in: Reports on Mathematical Physics
publication date: 1994-11-21T00:00:00Z
review text: Representations of the Poincaré group (or inhomogeneous Lorentz group) have been completely classified by Wigner. They include zero-mass representations induced by matrix representations of the little group \(E(2)\), the Euclidean group in two dimensions. Also their relation to the description of massless particles such as the photon is well understood. Neither from the mathematical nor from the physical point of view, one can hardly add new facets to our present understanding, and the article under review is no exception to this rule. In fact, the reader has to work hard before he realizes that many results, he is already familiar with, are once more reproduced in a very obscure language and notation. In his own words the author wishes ``to illustrate the difference between these (i.e., representations) and those of other cases, like compact semisimple Lie groups''.
Mathematics Subject Classification ID: 22E70
Mathematics Subject Classification ID: 22E43
Mathematics Subject Classification ID: 81R05
zbMATH DE Number: 529923
zbMATH Keywords: Poincaré group
zbMATH Keywords: inhomogeneous Lorentz group
zbMATH Keywords: zero-mass representations
zbMATH Keywords: matrix representations
zbMATH Keywords: massless particles
reviewed by: Gert Roepstorff
MaRDI profile type: Publication
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full work available at URL: 0034-4877(93)90018-a
OpenAlex ID: W1971913612
description: scientific article; zbMATH DE number 529923