Geodesic
On the Lie algebra of derivations of the Jordan algebra of a bilinear symmetric form
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 222 (2023), pp. 94-99.

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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. 
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A. Ya. Sultanov; M. V. Glebova. On the Lie algebra of derivations of the Jordan algebra of a bilinear symmetric form. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 222 (2023), pp. 94-99. http://geodesic.mathdoc.fr/item/INTO_2023_222_a8/

[1] Vishnevskii V. V., Shirokov A. P., Shurygin V. V., Prostranstva nad algebrami, Izd-vo Kazan. un-ta, Kazan, 1985

[2] Zhevlanov K. A., Slinko A. M., Shestakov I. P., Shirshov A. I., Koltsa, blizkie k assotsiativnym, Nauka, M., 1978

[3] Kartan A., Eilenberg S., Gomologicheskaya algebra, IL, M., 1960