### 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 language | English |
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Pages (from-to) | 416-419 |

Number of pages | 4 |

Journal | Soviet Physics Journal |

Volume | 33 |

Issue number | 5 |

DOIs | |

Publication status | Published - May 1990 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Soviet Physics Journal*,

*33*(5), 416-419. https://doi.org/10.1007/BF00896080

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

Research output: Contribution to journal › Article

*Soviet Physics Journal*, vol. 33, no. 5, pp. 416-419. https://doi.org/10.1007/BF00896080

}

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

VL - 33

SP - 416

EP - 419

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

IS - 5

ER -