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
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/}
}
TY - JOUR AU - Ya. S. 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 - https://jolt.centre-mersenne.org/articles/10.5802/jolt.644/ DO - 10.5802/jolt.644 ID - JOLT_2011_21_3_a2 ER -
%0 Journal Article %A Ya. S. Krylyouk %T The Enveloping Algebra of the Petrogradsky-Shestakov-Zelmanov Algebra is not Graded-Nil in the Critical Characteristics %J Journal of Lie Theory %D 2011 %P 703-709 %V 21 %N 3 %U https://jolt.centre-mersenne.org/articles/10.5802/jolt.644/ %R 10.5802/jolt.644 %F JOLT_2011_21_3_a2
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
Cited by Sources:
