scientific article

zbMath1280.17019MaRDI QIDQ2844751

Victor M. Petrogradsky, Ivan Pavlovic Shestakov

Publication date: 19 August 2013

Full work available at URL: http://www.heldermann.de/JLT/JLT23/JLT232/jlt23019.htm

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zbMATH Keywords

growthLie algebras of differential operatorsgraded algebrasFibonacci numbersrestricted Lie algebrasnil-algebrasself-similar algebras

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Lie algebras of vector fields and related (super) algebras (17B66) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Infinite-dimensional Lie (super)algebras (17B65) Graded Lie (super)algebras (17B70) Rings of differential operators (associative algebraic aspects) (16S32) Modular Lie (super)algebras (17B50)

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Fractal nil graded Lie superalgebras ⋮ Clover nil restricted Lie algebras of quasi-linear growth ⋮ Fractal just infinite nil Lie superalgebra of finite width ⋮ Self-similar associative algebras. ⋮ 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

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