Representations of quantum bicrossproduct algebras

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Published 19 November 2002 • Published under licence by IOP Publishing Ltd
, , Citation Oscar Arratia and Mariano A del Olmo 2002 J. Phys. A: Math. Gen. 35 10247 DOI 10.1088/0305-4470/35/48/304

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1 Departamento de Matemática Aplicada a la Ingeniería, Universidad de Valladolid, E-47011, Valladolid, Spain

2 Departamento de Física Teórica, Universidad de Valladolid, E-47011, Valladolid, Spain

Dates

  1. Received 1 August 2002
  2. Published

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0305-4470/35/48/10247

Abstract

We present a method to construct induced representations of quantum algebras which have a bicrossproduct structure. We apply this procedure to some quantum kinematical algebras in (1 + 1) dimensions with this kind of structure: null-plane quantum Poincaré algebra, non-standard quantum Galilei algebra and quantum κ-Galilei algebra.

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