On Jordan doubles of slow growth of Lie superalgebras

DOI10.1007/s40863-019-00122-xzbMath1437.17011arXiv1806.10485OpenAlexW2962711294WikidataQ107721205 ScholiaQ107721205MaRDI QIDQ2000119

Victor M. Petrogradsky, Ivan Pavlovic Shestakov

Publication date: 28 June 2019

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10485

zbMATH Keywords

growthgraded algebrasLie superalgebrawreath productnil-algebrasself-similar algebrasJordan superalgebrasPoisson superalgebras

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional Lie (super)algebras (17B65) Superalgebras (17A70) Graded Lie (super)algebras (17B70) Structure theory for Jordan algebras (17C10) Jordan structures associated with other structures (17C50) Super structures (17C70)

Related Items

Clover nil restricted Lie algebras of quasi-linear growth, Gelfand-Kirillov dimension of bicommutative algebras, Growth of nonsymmetric operads, Growth functions of Jordan algebras, Nil restricted Lie algebras of oscillating intermediate growth, Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras, No dialgebra has Gelfand-Kirillov dimension strictly between 1 and 2

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