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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 222, Pages 94–99
DOI: https://doi.org/10.36535/0233-6723-2023-222-94-99 (Mi into1145) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Lie algebra of derivations of the Jordan algebra of a bilinear symmetric form

A. Ya. Sultanov, M. V. Glebova

Penza State University
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DOI: https://doi.org/10.36535/0233-6723-2023-222-94-99
Abstract: We find the dimension of the Lie algebra of derivations of the Jordan algebra $\Im(\Phi)$ of a symmetric bilinear form $\Phi$ over a field $P$ with characteristic different from $2$.
Keywords: Lie algebra, Jordan algebra, bilinear symmetric form, algebra derivation.
Document Type: Article
UDC: 514.76
MSC: 14B05, 17B60
Language: Russian
Citation: A. Ya. Sultanov, M. V. Glebova, “On the Lie algebra of derivations of the Jordan algebra of a bilinear symmetric form”, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998).  Moscow, November 1–4, 2021. Part 3, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 222, VINITI, Moscow, 2023, 94–99
Citation in format AMSBIB
\Bibitem{SulGle23}
\by A.~Ya.~Sultanov, M.~V.~Glebova
\paper On the Lie algebra of derivations of the Jordan algebra of a bilinear symmetric form
\inbook Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998).  Moscow, November 1–4, 2021. Part 3
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 222
\pages 94--99
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1145}
\crossref{https://doi.org/10.36535/0233-6723-2023-222-94-99}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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