Standard

On the Right-Symmetric Algebras with a Unital Matrix Subalgebra. / Pozhidaev, A. P.; Shestakov, I. P.

In: Siberian Mathematical Journal, Vol. 62, No. 1, 01.2021, p. 138-147.

Research output: Contribution to journal › Article › peer-review

Harvard

Pozhidaev, AP & Shestakov, IP 2021, 'On the Right-Symmetric Algebras with a Unital Matrix Subalgebra', Siberian Mathematical Journal, vol. 62, no. 1, pp. 138-147. https://doi.org/10.1134/S0037446621010158

APA

Pozhidaev, A. P., & Shestakov, I. P. (2021). On the Right-Symmetric Algebras with a Unital Matrix Subalgebra. Siberian Mathematical Journal, 62(1), 138-147. https://doi.org/10.1134/S0037446621010158

Vancouver

Pozhidaev AP, Shestakov IP. On the Right-Symmetric Algebras with a Unital Matrix Subalgebra. Siberian Mathematical Journal. 2021 Jan;62(1):138-147. doi: 10.1134/S0037446621010158

Author

Pozhidaev, A. P. ; Shestakov, I. P. / On the Right-Symmetric Algebras with a Unital Matrix Subalgebra. In: Siberian Mathematical Journal. 2021 ; Vol. 62, No. 1. pp. 138-147.

BibTeX

@article{91f5803fe8a84d66bcbdcf3649642347,
title = "On the Right-Symmetric Algebras with a Unital Matrix Subalgebra",
abstract = "Under study are the right-symmetric algebras over a field $ F $which possess a “unital” matrix subalgebra $ M_{n}(F) $.We classify all these finite-dimensional right-symmetric algebras $ {\mathcal{A}}=W\oplus M_{2}(F) $ in the case when $ W $ is anirreducible module over $ sl_{2}(F) $.",
keywords = "512.57, Koszul–Vinberg algebra, left-symmetric algebra, pre-Lie algebra, right-symmetric algebra, simple algebra",
author = "Pozhidaev, {A. P.} and Shestakov, {I. P.}",
note = "Funding Information: A. P. Pozhidaev was supported by the FAPESP (2018/05372–7) and I. P. Shestakov by the FAPESP (2018/23690–6) and CNPq 304313/2019–0. The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project 0314–2019–0001). Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = jan,
doi = "10.1134/S0037446621010158",
language = "English",
volume = "62",
pages = "138--147",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "1",

}

RIS

TY - JOUR

T1 - On the Right-Symmetric Algebras with a Unital Matrix Subalgebra

AU - Pozhidaev, A. P.

AU - Shestakov, I. P.

N1 - Funding Information: A. P. Pozhidaev was supported by the FAPESP (2018/05372–7) and I. P. Shestakov by the FAPESP (2018/23690–6) and CNPq 304313/2019–0. The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project 0314–2019–0001). Publisher Copyright: © 2021, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/1

Y1 - 2021/1

N2 - Under study are the right-symmetric algebras over a field $ F $which possess a “unital” matrix subalgebra $ M_{n}(F) $.We classify all these finite-dimensional right-symmetric algebras $ {\mathcal{A}}=W\oplus M_{2}(F) $ in the case when $ W $ is anirreducible module over $ sl_{2}(F) $.

AB - Under study are the right-symmetric algebras over a field $ F $which possess a “unital” matrix subalgebra $ M_{n}(F) $.We classify all these finite-dimensional right-symmetric algebras $ {\mathcal{A}}=W\oplus M_{2}(F) $ in the case when $ W $ is anirreducible module over $ sl_{2}(F) $.

KW - 512.57

KW - Koszul–Vinberg algebra

KW - left-symmetric algebra

KW - pre-Lie algebra

KW - right-symmetric algebra

KW - simple algebra

UR - http://www.scopus.com/inward/record.url?scp=85099965464&partnerID=8YFLogxK

U2 - 10.1134/S0037446621010158

DO - 10.1134/S0037446621010158

M3 - Article

AN - SCOPUS:85099965464

VL - 62

SP - 138

EP - 147

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 1

ER -

ID: 27640469