The Enveloping Algebra of the Petrogradsky-Shestakov-Zelmanov Algebra is not Graded-Nil in the Critical Characteristics
Journal of Lie Theory, Tome 21 (2011) no. 3, pp. 703-709

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

It is shown that enveloping algebras of Petrogradsky-Shestakov-Zelmanov Lie algebras of characteristic p = n2 + n + 1 are not graded nil.
Classification : 17B05, 17B50, 17B66, 16P90, 11B39
Mots-clés : Enveloping Algebra, Petrogradsky-Shestakov-Zelmanov Algebra

Iaroslav Krylyouk  1

1 De Anza College, 21250 Stevens Creek Blvd., Cupertino, CA 95014, U.S.A.
Iaroslav Krylyouk. The Enveloping Algebra of the Petrogradsky-Shestakov-Zelmanov Algebra is not Graded-Nil in the Critical Characteristics. Journal of Lie Theory, Tome 21 (2011) no. 3, pp. 703-709. http://geodesic.mathdoc.fr/item/JOLT_2011_21_3_a2/
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     author = {Iaroslav Krylyouk},
     title = {The {Enveloping} {Algebra} of the {Petrogradsky-Shestakov-Zelmanov} {Algebra} is not {Graded-Nil} in the {Critical} {Characteristics}},
     journal = {Journal of Lie Theory},
     pages = {703--709},
     year = {2011},
     volume = {21},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2011_21_3_a2/}
}
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