Geodesic
Lie Superalgebras Based on a 3-Dimensional Real or Complex Lie Algebra
Isabel Hernández1 ; Gil Salgado1 ; Oscar Adolfo Sánchez-Valenzuela1
1Centro de Investigacion en Matematicas, Apdo. Postal 402, C.P. 36000 Guanajuato, Gto., Mexico
Journal of Lie Theory, Tome 16 (2006) no. 3, pp. 539-560

Voir la notice de l'article provenant de la source Heldermann Verlag

\def\g{{\frak g}} We give a complete classification of real and complex Lie superalgebras $\g_0\oplus\g_1$, for which $\g_0$ is a $3$-dimensional Lie algebra, and $\g_1$ is $\g_0$ itself under the adjoint representation.
Classification : 17B70, 81R05, 15A21, 15A63, 17B81
Mots-clés : Lie superalgebras, adjoint representation, symmetric equivariant maps

Isabel Hernández  1   ; Gil Salgado  1   ; Oscar Adolfo Sánchez-Valenzuela  1

1 Centro de Investigacion en Matematicas, Apdo. Postal 402, C.P. 36000 Guanajuato, Gto., Mexico 
Isabel Hernández; Gil Salgado; Oscar Adolfo Sánchez-Valenzuela. Lie Superalgebras Based on a 3-Dimensional Real or Complex Lie Algebra. Journal of Lie Theory, Tome 16 (2006) no. 3, pp. 539-560. http://geodesic.mathdoc.fr/item/JOLT_2006_16_3_a6/
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     author = {Isabel Hern\'andez and Gil Salgado and Oscar Adolfo S\'anchez-Valenzuela},
     title = {Lie {Superalgebras} {Based} on a {3-Dimensional} {Real} or {Complex} {Lie} {Algebra}},
     journal = {Journal of Lie Theory},
     pages = {539--560},
     year = {2006},
     volume = {16},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2006_16_3_a6/}
}
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