The Enveloping Algebra of the Petrogradsky-Shestakov-Zelmanov Algebra is not Graded-Nil in the Critical Characteristics
Journal of Lie Theory, Volume 21 (2011) no. 3, pp. 703-709
It is shown that enveloping algebras of Petrogradsky-Shestakov-Zelmanov Lie algebras of characteristic p = n2 + n + 1 are not graded nil.
DOI: 10.5802/jolt.644
Classification: 17B05, 17B50, 17B66, 16P90, 11B39
Keywords: Enveloping Algebra, Petrogradsky-Shestakov-Zelmanov Algebra
@article{JOLT_2011_21_3_a2,
     author = {Ya. S. 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},
     doi = {10.5802/jolt.644},
     zbl = {1273.17024},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.644/}
}
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Ya. S. Krylyouk. The Enveloping Algebra of the Petrogradsky-Shestakov-Zelmanov Algebra is not Graded-Nil in the Critical Characteristics. Journal of Lie Theory, Volume 21 (2011) no. 3, pp. 703-709. doi: 10.5802/jolt.644

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