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  • Experimental evidences and theoretical motivations lead to consider the curved space-time relativity based on the de Sitter group SO0(1, 4) or Sp(2, 2) as an appealing substitute to the flat space-time Poincare relativity. Quantum elementary systems are then associated to unitary irreducible representations of that simple Lie group. At the lowest limit of the discrete series lies a remarkable family of scalar representations involving Krein structures and related undecomposable representation cohomology which deserves to be thoroughly studied in view of quantization of the corresponding carrier fields. The purpose of this note is to present the mathematical material needed to examine the problem and to indicate possible extensions of an exemplary case, namely the so-called de Sitterian massless minimally coupled field, i.e. a scalar field in de Sitter space-time which does not couple to the Ricci curvature.
  • Experimental evidences and theoretical motivations lead to consider the curved space-time relativity based on the de Sitter group SO0(1, 4) or Sp(2, 2) as an appealing substitute to the flat space-time Poincare relativity. Quantum elementary systems are then associated to unitary irreducible representations of that simple Lie group. At the lowest limit of the discrete series lies a remarkable family of scalar representations involving Krein structures and related undecomposable representation cohomology which deserves to be thoroughly studied in view of quantization of the corresponding carrier fields. The purpose of this note is to present the mathematical material needed to examine the problem and to indicate possible extensions of an exemplary case, namely the so-called de Sitterian massless minimally coupled field, i.e. a scalar field in de Sitter space-time which does not couple to the Ricci curvature. (en)
Title
  • Krein Spaces in de Sitter Quantum Theories
  • Krein Spaces in de Sitter Quantum Theories (en)
skos:prefLabel
  • Krein Spaces in de Sitter Quantum Theories
  • Krein Spaces in de Sitter Quantum Theories (en)
skos:notation
  • RIV/61389005:_____/10:00343071!RIV11-AV0-61389005
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(AV0Z10480505)
http://linked.open...iv/cisloPeriodika
  • -
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 267332
http://linked.open...ai/riv/idVysledku
  • RIV/61389005:_____/10:00343071
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • de Sitter group; undecomposable representations; Krein spaces (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • UA - Ukrajina
http://linked.open...ontrolniKodProRIV
  • [8FF7B404D3FE]
http://linked.open...i/riv/nazevZdroje
  • Symmetry, Integrability and Geometry: Methods and Applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 6
http://linked.open...iv/tvurceVysledku
  • Youssef, A.
  • Siegl, Petr
  • Gazeau, J. P.
http://linked.open...ain/vavai/riv/wos
  • 000274771200006
http://linked.open...n/vavai/riv/zamer
issn
  • 1815-0659
number of pages
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