Geodesic
Filtered deformations of the Frank algebras
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2009), pp. 53-56.

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In this paper we prove the rigidity of simple Lie algebras of the Frank series of characteristic 3 with the standard grading of depth 2 with respect to filtered deformations.
Keywords: graded Lie algebra, filtered deformation, Spenser cohomology. 
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A. A. Ladilova. Filtered deformations of the Frank algebras. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2009), pp. 53-56. http://geodesic.mathdoc.fr/item/IVM_2009_8_a6/

[1] Skryabin S. M., “Novye serii prostykh algebr Li”, Matem. sb., 183:8 (1992), 3–22 | MR | Zbl

[2] Chan Nam Zung, “O dvukh klassakh prostykh algebr Li nad polem kharakteristiki 3”, Vestn. MGU. Ser. Matem. i mekhan., 1992, no. 2, 12–15 | Zbl

[3] Brown G. E., “On the structure of some Lie algebras of Kuznetsov”, Michigan Math. J., 39 (1992), 85–90 | DOI | MR | Zbl

[4] Strade H., Simple Lie algebras over fields of positive characteristic, De Gruyter expositions in Mathematics, 38, Walter de Gruyter, Berlin–New York, 2004, 540 pp. | MR

[5] Brown G. E., “A class of simple Lie algebras of characteristic three”, Proc. Amer. Math. Soc., 107 (1989), 901–905 | DOI | MR | Zbl

[6] Kuznetsov M. I., “On Lie algebras of contact type”, Comm. Algebra, 18 (1990), 2943–3013 | DOI | MR | Zbl