Geodesic
On the locus of $p$-characters defining simple reduced enveloping algebras
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 196-203

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We confirm in two cases the conjecture stating that the reduced enveloping algebra $U_\xi(\mathfrak g)$ of a restricted Lie algebra $\mathfrak g$ is simple if and only if the alternating bilinear form associated with the given $p$-character $\xi\in\mathfrak g^*$ is nondegenerate.
Keywords: restricted Lie algebras, Frobenius Lie algebras, reduced enveloping algebras.
Mots-clés : solvable Lie algebras 
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     author = {S. M. Skryabin},
     title = {On the locus of $p$-characters defining simple reduced enveloping algebras},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {196--203},
     publisher = {mathdoc},
     volume = {154},
     number = {2},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2012_154_2_a18/}
}
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S. M. Skryabin. On the locus of $p$-characters defining simple reduced enveloping algebras. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 196-203. http://geodesic.mathdoc.fr/item/UZKU_2012_154_2_a18/