Construction of representations of Poincaré group using Lie fields

Miloslav Havlíček, Jan Kotrbatý, Patrick J. Moylan, Severin Pošta

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1 Scopus citations

Abstract

In this paper, we give an explicit construction of the unitary irreducible representations of the Poincaré groups in 2, 3, and 4 space-time dimensions on Hilbert spaces associated with the Schrödinger representation of the Weyl algebra for n = 1, 2, and 3, respectively. Our method of constructing the representations uses extension and localization of the enveloping algebras associated with these Weyl algebras and the Poincaré algebras.

Original languageEnglish (US)
Article number021702
JournalJournal of Mathematical Physics
Volume59
Issue number2
DOIs
StatePublished - Feb 1 2018

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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