Clover nil restricted Lie algebras of quasi-linear growth

DOI10.1142/S0219498822500578OpenAlexW3101627414WikidataQ115245578 ScholiaQ115245578MaRDI QIDQ5062331

Victor M. Petrogradsky

Publication date: 15 March 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.01713

zbMATH Keywords

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

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)

Related Items (2)

Nil restricted Lie algebras of oscillating intermediate growth ⋮ Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras

Cites Work

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• Fractal nil graded Lie superalgebras
• Growth, entropy and commutativity of algebras satisfying prescribed relations.
• Nil graded self-similar algebras
• On the Kurosh problem for algebras of polynomial growth over a general field.
• Growth in enveloping algebras
• Functionally recursive rings of matrices -- two examples
• Examples of self-iterating Lie algebras
• Large restricted Lie algebras
• Self-similar Lie algebras
• On the Burnside problem for periodic groups
• Divided power structures on Hopf algebras and embedding Lie algebras into special-derivation algebras
• On Burnside's problem on periodic groups
• Infinite dimensional Lie superalgebras
• Narrow algebras and groups
• Lower central series of a group of tree automorphisms
• Witt's formula for restricted Lie algebras.
• Graded Lie algebras of maximal class. II
• Fractal just infinite nil Lie superalgebra of finite width
• Intermediate growth in Lie algebras and their enveloping algebras
• Jordan algebras of Gelfand-Kirillov dimension one
• Groups of oscillating intermediate growth.
• Nil algebras and unipotent groups of finite width
• Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras
• On Jordan doubles of slow growth of Lie superalgebras
• On the growth of algebras, semigroups, and hereditary languages
• Nil restricted Lie algebras of oscillating intermediate growth
• Growth of periodic Grigorchuk groups
• On self-similar Lie algebras and virtual endomorphisms
• Enumeration of algebras close to absolutely free algebras and binary trees
• Some examples of nil Lie algebras
• Self-similar associative algebras.
• Branch rings, thinned rings, tree enveloping rings.
• POLYCYCLIC RESTRICTED LIE ALGEBRAS
• Nil algebras with restricted growth
• GOLOD–SHAFAREVICH GROUPS: A SURVEY
• Wreath products and Kaluzhnin-Krasner embedding for Lie algebras
• An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension
• SUBALGEBRAS OF GOLOD–SHAFAREVICH ALGEBRAS
• DEGREES OF GROWTH OF FINITELY GENERATED GROUPS, AND THE THEORY OF INVARIANT MEANS
• GROWTH OF FINITELY GENERATED POLYNILPOTENT LIE ALGEBRAS AND GROUPS, GENERALIZED PARTITIONS, AND FUNCTIONS ANALYTIC IN THE UNIT CIRCLE
• On Lie algebras with nonintegral 𝑞-dimensions
• Graded Lie Algebras of Maximal Class
• Nil Liep-algebras of slow growth
• Some problems of Burnside type
• On nil-algebras and finitely approximable 𝑝-groups
• Simple Lie algebras over fields of positive characteristic. I: Structure theory

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