Voir la notice de l'article provenant de la source Math-Net.Ru
@article{AL_2008_47_2_a6, author = {A. P. Pozhidaev}, title = {Simple {Filippov} superalgebras of type~$B(m,n)$}, journal = {Algebra i logika}, pages = {240--261}, publisher = {mathdoc}, volume = {47}, number = {2}, year = {2008}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/AL_2008_47_2_a6/} }
A. P. Pozhidaev. Simple Filippov superalgebras of type~$B(m,n)$. Algebra i logika, Tome 47 (2008) no. 2, pp. 240-261. http://geodesic.mathdoc.fr/item/AL_2008_47_2_a6/
[1] Yu. Daletskii, V. Kushnirevich, “Inclusion of Nambu-Takhtajan algebra in formal differential geometry structure”, Dop. NAN Ukr., 1996, no. 4, 12–18 | MR
[2] V. T. Filippov, “$n$-lievy algebry”, Sib. matem. zh., 26:6 (1985), 126–140 | MR | Zbl
[3] J. Grabowski, G. Marmo, “On Filippov algebroids and multiplicative Nambu–Poisson structures”, Differ. Geom. Appl., 12:1 (2000), 35–50 | DOI | MR | Zbl
[4] A. P. Pojidaev, “Enveloping algebras of Filippov algebras”, Commun. Algebra, 31:2 (2003), 883–900 | DOI | MR | Zbl
[5] A. P. Pojidaev, “Solvability of finite-dimensional commutative $n$-ary Leibniz algebras of characteristic 0”, Commun. Algebra, 31:1 (2003), 197–215 | DOI | MR | Zbl
[6] Ling Wuxue, On the structure of $n$-Lie algebras, Thesis, Siegen Univ.–GHS, Siegen, 1993, 61 pp. | Zbl
[7] A. P. Pojidaev, “On simple Filippov superalgebras of type $B(0,n)$”, J. Algebra Appl., 2:3 (2003), 335–349 | DOI | MR | Zbl
[8] A. P. Pojidaev, P. Saraiva, “On simple Filippov superalgebras of type $B(0,n)$. II”, Portugaliae Math. (N.S.) (to appear)
[9] V. G. Kac, “Lie superalgebras”, Adv. Math., 26:1 (1977), 8–96 | DOI | MR | Zbl
[10] V. Kac, “Representations of classical Lie superalgebras”, Differ. geom. Meth. math. Phys. II, Proc. (Bonn, 1977), Lect. Notes Math., 676, 1978, 597–626 | MR | Zbl
[11] N. Jacobson, Lie algebras, Intersci. Tracts Pure Appl. Math., 10, Intersci. Publ. (a Division of John Wiley and Sons), New York–London, 1962 | MR | Zbl