Subalgebras of the algebra of a conformal group with nontrivial center

V. G. Bagrov, B. F. Samsonov, A. V. Shapovalov, I. V. Shirokov

Research output: Contribution to journalArticle

Abstract

A similarity relationship is set up in the set of subalgebras with a nontrivial center of a conformal group algebra that separates it into classes of mutually similar subalgebras. In all 24 different classes of similar subalgebras are obtained and one representative is described in each class. All the nonequivalent two-dimensional commutative subalgebras of a conformal group algebra are obtained as an illustration of applying such a subalgebra system. The results of the research can be used to obtain the solutions of conformally invariant equations in the separated variables.

Original languageEnglish
Pages (from-to)416-419
Number of pages4
JournalSoviet Physics Journal
Volume33
Issue number5
DOIs
Publication statusPublished - May 1990
Externally publishedYes

Fingerprint

algebra

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Subalgebras of the algebra of a conformal group with nontrivial center. / Bagrov, V. G.; Samsonov, B. F.; Shapovalov, A. V.; Shirokov, I. V.

In: Soviet Physics Journal, Vol. 33, No. 5, 05.1990, p. 416-419.

Research output: Contribution to journalArticle

Bagrov, V. G. ; Samsonov, B. F. ; Shapovalov, A. V. ; Shirokov, I. V. / Subalgebras of the algebra of a conformal group with nontrivial center. In: Soviet Physics Journal. 1990 ; Vol. 33, No. 5. pp. 416-419.
@article{7446efa00d7d41c0ab0f57b695d0e312,
title = "Subalgebras of the algebra of a conformal group with nontrivial center",
abstract = "A similarity relationship is set up in the set of subalgebras with a nontrivial center of a conformal group algebra that separates it into classes of mutually similar subalgebras. In all 24 different classes of similar subalgebras are obtained and one representative is described in each class. All the nonequivalent two-dimensional commutative subalgebras of a conformal group algebra are obtained as an illustration of applying such a subalgebra system. The results of the research can be used to obtain the solutions of conformally invariant equations in the separated variables.",
author = "Bagrov, {V. G.} and Samsonov, {B. F.} and Shapovalov, {A. V.} and Shirokov, {I. V.}",
year = "1990",
month = "5",
doi = "10.1007/BF00896080",
language = "English",
volume = "33",
pages = "416--419",
journal = "Russian Physics Journal",
issn = "1064-8887",
publisher = "Consultants Bureau",
number = "5",

}

TY - JOUR

T1 - Subalgebras of the algebra of a conformal group with nontrivial center

AU - Bagrov, V. G.

AU - Samsonov, B. F.

AU - Shapovalov, A. V.

AU - Shirokov, I. V.

PY - 1990/5

Y1 - 1990/5

N2 - A similarity relationship is set up in the set of subalgebras with a nontrivial center of a conformal group algebra that separates it into classes of mutually similar subalgebras. In all 24 different classes of similar subalgebras are obtained and one representative is described in each class. All the nonequivalent two-dimensional commutative subalgebras of a conformal group algebra are obtained as an illustration of applying such a subalgebra system. The results of the research can be used to obtain the solutions of conformally invariant equations in the separated variables.

AB - A similarity relationship is set up in the set of subalgebras with a nontrivial center of a conformal group algebra that separates it into classes of mutually similar subalgebras. In all 24 different classes of similar subalgebras are obtained and one representative is described in each class. All the nonequivalent two-dimensional commutative subalgebras of a conformal group algebra are obtained as an illustration of applying such a subalgebra system. The results of the research can be used to obtain the solutions of conformally invariant equations in the separated variables.

UR - http://www.scopus.com/inward/record.url?scp=34249919644&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34249919644&partnerID=8YFLogxK

U2 - 10.1007/BF00896080

DO - 10.1007/BF00896080

M3 - Article

AN - SCOPUS:34249919644

VL - 33

SP - 416

EP - 419

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

IS - 5

ER -