On $\delta$-superderivations of simple superalgebras of Jordan brackets
Algebra i analiz, Tome 23 (2011) no. 4, pp. 40-58.

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V. N. Zhelyabin; I. B. Kaygorodov. On $\delta$-superderivations of simple superalgebras of Jordan brackets. Algebra i analiz, Tome 23 (2011) no. 4, pp. 40-58. http://geodesic.mathdoc.fr/item/AA_2011_23_4_a2/

[1] Filippov V. T., “O $\delta$-differentsirovaniyakh algebr Li”, Sib. mat. zh., 39:6 (1998), 1409–1422 | MR | Zbl

[2] Filippov V. T., “O $\delta$-differentsirovaniyakh pervichnykh algebr Li”, Sib. mat. zh., 40:1 (1999), 201–213 | MR | Zbl

[3] Filippov V. T., “O $\delta$-differentsirovaniyakh pervichnykh alternativnykh i maltsevskikh algebr”, Algebra i logika, 39:5 (2000), 618–625 | MR | Zbl

[4] Kaigorodov I. B., “O $\delta$-differentsirovaniyakh prostykh konechnomernykh iordanovykh superalgebr”, Algebra i logika, 46:5 (2007), 585–605 | MR | Zbl

[5] Kaigorodov I. B., “O $\delta$-differentsirovaniyakh klassicheskikh superalgebr Li”, Sib. mat. zh., 50:3 (2009), 547–565 | MR | Zbl

[6] Kaigorodov I. B., “O $\delta$-superdifferentsirovaniyakh prostykh konechnomernykh iordanovykh i lievykh superalgebr”, Algebra i logika, 49:2 (2010), 195–215 | MR | Zbl

[7] Kaigorodov I. B., “Ob obobschennom duble Kantora”, Vestn. Samar. gos. un-ta, 78:4 (2010), 42–50

[8] Zusmanovich P., “On $\delta$-derivations of Lie algebras and superalgebras”, J. Algebra, 324:12 (2010), 3470–3486 | DOI | MR | Zbl

[9] Leger G., Luks E., “Generalized derivations of Lie algebras”, J. Algebra, 228:1 (2000), 165–203 | DOI | MR | Zbl

[10] Kantor I. L., “Iordanovy i lievy superalgebry, opredelyaemye algebroi Puassona”, Algebra i analiz, TGU, Tomsk, 1989, 55–80 | MR

[11] Kac V. G., “Classification of simple $\mathbb Z$-graded Lie superalgebras and simple Jordan superalgebras”, Comm. Algebra, 13 (1977), 1375–1400 | DOI | MR

[12] Racine M. L., Zelmanov E. I., “Simple Jordan superalgebras with semisimple even part”, J. Algebra, 270:2 (2003), 374–444 | DOI | MR | Zbl

[13] Martinez C., Zelmanov E., “Simple finite-dimensional Jordan superalgebras of prime characteristic”, J. Algebra, 236:2 (2001), 575–629 | DOI | MR | Zbl

[14] King D., McCrimmon K., “The Kantor construction of Jordan superalgebras”, Comm. Algebra, 20:1 (1992), 109–126 | DOI | MR | Zbl

[15] Kantor I. L., “Connection between Poisson brackets and Jordan and Lie superalgebras”, Lie Theory, Differential Equations and Representation Theory (Montreal, 1989), Univ. Montreal, Montreal, QC, 1990, 213–225 | MR

[16] Cheng S. J., Kac V. G., “A new $N=6$ superconformal algebra”, Comm. Math. Phys., 186:1 (1997), 219–231 | DOI | MR | Zbl

[17] Zhevlakov K. A., Slinko A. M., Shestakov I. P., Shirshov A. I., Koltsa, blizkie k assotsiativnym, Nauka, M., 1978 | MR | Zbl

[18] Shestakov I. P., “Pervichnye alternativnye superalgebry proizvolnoi kharakteristiki”, Algebra i logika, 36:6 (1997), 675–716 | MR | Zbl

[19] Barreiro E., Elduque A., Martinez C., Derivations of the Cheng–Kac Jordan superalgebras, arXiv: 1101.0485v1

[20] Retakh A., “Derivations of KKM doubles”, Comm. Algebra, 38 (2010), 3660–3670 | DOI | MR | Zbl

[21] Kaigorodov I. B., “O $\delta$-superdifferentsirovaniyakh poluprostykh konechnomernykh iordanovykh superalgebr”, Mat. zametki, 90 (2011) (to appear) , arXiv: 1106.2680v1