Show simple item record

dc.contributor.authorRajabov Alioglu, Bala Alien_US
dc.date.accessioned2020-10-19T11:12:28Z
dc.date.available2020-10-19T11:12:28Z
dc.date.issued2018
dc.identifier.citationRajabov Alioglu, B. A. (2018). The theory of representations of groups SO₀(2, 1) and ISO(2, 1). Wigner coefficients of the group SO₀(2, 1). TWMS Journal of Applied and Engineering Mathematics, 8(2), 362-373.en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.urihttps://hdl.handle.net/11729/2674
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/99-vol8no2/356
dc.description.abstractThis paper is devoted to the representations of the groups SO(2, 1) and ISO(2, 1). Those groups have an important role in cosmology, elementary particle theory and mathematical physics. Irreducible unitary representations of the principal continuous and supplementary as well as discrete series were obtained. Explicit expressions for spherical functions of the group SO₀(2, 1) are obtained through the Gauss hypergeometric functions. The Wigner coefficients of the group SO₀(2, 1) were computed and their explicit expressions using the bilateral series were represented. The results could be used to study the non-degenerate representations of the de Sitter group SO(3, 2).en_US
dc.language.isoengen_US
dc.publisherIşık University Pressen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectBilateral seriesen_US
dc.subjectISO₀(2, 1) and SO₀(2, 1) groupsen_US
dc.subjectDe Sitter group SO(3, 2)en_US
dc.subjectWigner coefficientsen_US
dc.subjectUnitary irreducible representationsen_US
dc.titleThe theory of representations of groups SO₀(2, 1) and ISO(2, 1). Wigner coefficients of the group SO₀(2, 1)en_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalTWMS Journal of Applied and Engineering Mathematicsen_US
dc.identifier.volume8
dc.identifier.issue2
dc.identifier.startpage362
dc.identifier.endpage373
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

info:eu-repo/semantics/openAccess
Except where otherwise noted, this item's license is described as info:eu-repo/semantics/openAccess