Fractal nil graded Lie superalgebras

DOI10.1016/j.jalgebra.2016.06.028zbMath1405.17055OpenAlexW2489519185WikidataQ115350759 ScholiaQ115350759MaRDI QIDQ308126

Victor M. Petrogradsky

Publication date: 5 September 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.06.028

zbMATH Keywords

growthLie algebras of differential operatorsgraded algebrasLie superalgebrarestricted Lie algebras\(p\)-groupsnil-algebrasself-similar algebras

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Graded Lie (super)algebras (17B70) Modular Lie (super)algebras (17B50)

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Clover nil restricted Lie algebras of quasi-linear growth ⋮ Fractal just infinite nil Lie superalgebra of finite width ⋮ A conjecture of Dekking on the dimensions of the lower central series factors of a certain just infinite Lie algebra ⋮ Nil restricted Lie algebras of oscillating intermediate growth ⋮ Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras ⋮ On Jordan doubles of slow growth of Lie superalgebras ⋮ Nil Liep-algebras of slow growth

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