Automorphisms and derivations of exceptional simple Lie algebras of family $R$
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 10, Tome 305 (2003), pp. 165-186 Cet article a éte moissonné depuis la source Math-Net.Ru

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The automorphisms and derivations of simple Lie algebras of family $R$ is described. The Lie algebra of the automorphism group is found.
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O. A. Muliar. Automorphisms and derivations of exceptional simple Lie algebras of family $R$. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 10, Tome 305 (2003), pp. 165-186. http://geodesic.mathdoc.fr/item/ZNSL_2003_305_a11/

[1] M. I. Kuznetsov, “Melikyan Algebras as Lie Algebras of Type $G_{2}$”, Communications in Algebra, 19:4 (1991), 1281–1312 | DOI | MR | Zbl

[2] A. I. Kostrikin, “Parametricheskoe semeistvo prostykh algebr Li”, Izv. AN SSSR. Ser. matem., 34 (1970), 744–756 | MR | Zbl

[3] G. Brown, “On the structure of some Lie algebras of Kuznetsov”, Michigan Math. J., 39:7 (1992), 85–90 | MR | Zbl

[4] Yu. B. Ermolaev, “Semeistvo prostykh algebr Li nad polem kharakteristiki 3”, 5 Vsesoyuznyi simpozium po teorii kolets, algebr i modulei, Tezisy, 1982, 52–53

[5] M. I. Kuznetsov, “Klassifikatsiya prostykh graduirovannykh algebr Li s nepoluprostoi komponentoi $L_0$”, Matem. sb., 180:2 (1989), 147–158 | MR | Zbl

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

[7] R. L. Wilson, “Classification of generalized Witt algebras over algebraically closed fields”, Trans. Amer. Math. Soc., 153 (1971), 191–210 | DOI | MR | Zbl

[8] M. I. Kuznetsov, “Usechennye indutsirovannye moduli nad tranzitivnymi algebrami Li kharakteristiki $p$”, Izv. AN SSSR. Ser. matem., 53 (1989), 557–589 | MR | Zbl

[9] A. I. Kostrikin, I. R. Shafarevich, “Graduirovannye algebry Li konechnoi kharakteristiki”, Izv. AN SSSR. Ser. matem., 33 (1969), 251–322 | MR | Zbl

[10] A. S. Dzhumadildaev, “Deformatsii algebr Li $W_n(\mathbf m)$”, Matem. sb., 180:2 (1989), 168–185 | MR

[11] N. Dzhekobson, Algebry Li, Mir, M., 1964 | MR