Unitary representations of the (4 + 1) de Sitter group on unitary irreducible representation spaces of the Poincaré group: Equivalence with their realizations as induced representations

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In a previous work we have constructed realizations of the principal continuous series of unitary irreducible representations of the simply connected covering group of the (4 + 1) de Sitter group on unitary irreducible representation spaces of the simply connected covering group of the Poincaré group. In this work we demonstrate the equivalence of the representations constructed in the previous work with their realizations as induced representations.

Original languageEnglish (US)
Pages (from-to)29-40
Number of pages12
JournalJournal of Mathematical Physics
Volume26
Issue number1
DOIs
StatePublished - Jan 1 1985

Fingerprint

Induced Representations
Unitary Representation
Irreducible Representation
equivalence
Equivalence
coverings
Covering
Series
Demonstrate

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

@article{48da09f2222a48c7b3c3d86654303b00,
title = "Unitary representations of the (4 + 1) de Sitter group on unitary irreducible representation spaces of the Poincar{\'e} group: Equivalence with their realizations as induced representations",
abstract = "In a previous work we have constructed realizations of the principal continuous series of unitary irreducible representations of the simply connected covering group of the (4 + 1) de Sitter group on unitary irreducible representation spaces of the simply connected covering group of the Poincar{\'e} group. In this work we demonstrate the equivalence of the representations constructed in the previous work with their realizations as induced representations.",
author = "P. Moylan",
year = "1985",
month = "1",
day = "1",
doi = "10.1063/1.526795",
language = "English (US)",
volume = "26",
pages = "29--40",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",
number = "1",

}

TY - JOUR

T1 - Unitary representations of the (4 + 1) de Sitter group on unitary irreducible representation spaces of the Poincaré group

T2 - Equivalence with their realizations as induced representations

AU - Moylan, P.

PY - 1985/1/1

Y1 - 1985/1/1

N2 - In a previous work we have constructed realizations of the principal continuous series of unitary irreducible representations of the simply connected covering group of the (4 + 1) de Sitter group on unitary irreducible representation spaces of the simply connected covering group of the Poincaré group. In this work we demonstrate the equivalence of the representations constructed in the previous work with their realizations as induced representations.

AB - In a previous work we have constructed realizations of the principal continuous series of unitary irreducible representations of the simply connected covering group of the (4 + 1) de Sitter group on unitary irreducible representation spaces of the simply connected covering group of the Poincaré group. In this work we demonstrate the equivalence of the representations constructed in the previous work with their realizations as induced representations.

UR - http://www.scopus.com/inward/record.url?scp=0041078024&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0041078024&partnerID=8YFLogxK

U2 - 10.1063/1.526795

DO - 10.1063/1.526795

M3 - Article

AN - SCOPUS:0041078024

VL - 26

SP - 29

EP - 40

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 1

ER -