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
Mots-clés : Enveloping Algebra, Petrogradsky-Shestakov-Zelmanov Algebra
Affiliations des auteurs :
Iaroslav Krylyouk  1
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/
@article{JOLT_2011_21_3_a2,
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/}
}
TY - JOUR AU - Iaroslav Krylyouk TI - The Enveloping Algebra of the Petrogradsky-Shestakov-Zelmanov Algebra is not Graded-Nil in the Critical Characteristics JO - Journal of Lie Theory PY - 2011 SP - 703 EP - 709 VL - 21 IS - 3 UR - http://geodesic.mathdoc.fr/item/JOLT_2011_21_3_a2/ ID - JOLT_2011_21_3_a2 ER -