Jordan algebras of Gelfand-Kirillov dimension one

DOI10.1006/jabr.1996.0063zbMath0848.17046OpenAlexW2091814073MaRDI QIDQ1911646

Consuelo Martínez, Efim I. Zelmanov

Publication date: 5 June 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.0063

zbMATH Keywords

Lie algebrasJordan algebrasGelfand-Kirillov dimensioncharacteristic not twoMcCrimmon radicalprounipotent groupsgraded Jordan algebrassemiprime Jordan algebras

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Structure theory for Jordan algebras (17C10) Radicals in Jordan algebras (17C17)

Related Items (11)

Gelfand–Kirillov Dimension and Local Finiteness of Jordan Superpairs Covered by Grids and Their Associated Lie Superalgebras ⋮ Nonassociative algebras: some applications. ⋮ Clover nil restricted Lie algebras of quasi-linear growth ⋮ Simple and prime graded Jordan algebras ⋮ 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 ⋮ On Jordan doubles of slow growth of Lie superalgebras ⋮ No dialgebra has Gelfand-Kirillov dimension strictly between 1 and 2

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